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Finding the Fourth Proportional to 602.63, 904.37 and 278.21

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Solution

The fourth proportional to 602.63, 904.37 and 278.21 is: 417.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.63 : 904.37 = 278.21 : x
  2. Step 2: Convert to fraction form
    602.63/904.37 = 278.21/x
  3. Step 3: Cross multiply
    602.63x = 904.37 × 278.21
  4. Step 4: Simplify right side
    602.63x = 251,603.39
  5. Step 5: Solve for x
    x = 251,603.39/602.63
  6. Step 6: Final answer
    x = 417.51

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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.