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Finding the Fourth Proportional to 402.66, 604.71 and 307.14

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Solution

The fourth proportional to 402.66, 604.71 and 307.14 is: 461.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.66 : 604.71 = 307.14 : x
  2. Step 2: Convert to fraction form
    402.66/604.71 = 307.14/x
  3. Step 3: Cross multiply
    402.66x = 604.71 × 307.14
  4. Step 4: Simplify right side
    402.66x = 185,730.63
  5. Step 5: Solve for x
    x = 185,730.63/402.66
  6. Step 6: Final answer
    x = 461.26

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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.