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Finding the Fourth Proportional to 340.57, 469.35 and 278.20

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Solution

The fourth proportional to 340.57, 469.35 and 278.20 is: 383.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.57 : 469.35 = 278.20 : x
  2. Step 2: Convert to fraction form
    340.57/469.35 = 278.20/x
  3. Step 3: Cross multiply
    340.57x = 469.35 × 278.20
  4. Step 4: Simplify right side
    340.57x = 130,573.87
  5. Step 5: Solve for x
    x = 130,573.87/340.57
  6. Step 6: Final answer
    x = 383.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.