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Finding the Fourth Proportional to 855.42, 1,283.34 and 278.28

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Solution

The fourth proportional to 855.42, 1,283.34 and 278.28 is: 417.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.42 : 1,283.34 = 278.28 : x
  2. Step 2: Convert to fraction form
    855.42/1,283.34 = 278.28/x
  3. Step 3: Cross multiply
    855.42x = 1,283.34 × 278.28
  4. Step 4: Simplify right side
    855.42x = 357,127.86
  5. Step 5: Solve for x
    x = 357,127.86/855.42
  6. Step 6: Final answer
    x = 417.49

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.