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Finding the Fourth Proportional to 407.66, 562.02 and 307.64

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Solution

The fourth proportional to 407.66, 562.02 and 307.64 is: 424.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.66 : 562.02 = 307.64 : x
  2. Step 2: Convert to fraction form
    407.66/562.02 = 307.64/x
  3. Step 3: Cross multiply
    407.66x = 562.02 × 307.64
  4. Step 4: Simplify right side
    407.66x = 172,899.83
  5. Step 5: Solve for x
    x = 172,899.83/407.66
  6. Step 6: Final answer
    x = 424.13

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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.