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Finding the Fourth Proportional to 407.63, 562.71 and 342.02

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Solution

The fourth proportional to 407.63, 562.71 and 342.02 is: 472.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.63 : 562.71 = 342.02 : x
  2. Step 2: Convert to fraction form
    407.63/562.71 = 342.02/x
  3. Step 3: Cross multiply
    407.63x = 562.71 × 342.02
  4. Step 4: Simplify right side
    407.63x = 192,455.26
  5. Step 5: Solve for x
    x = 192,455.26/407.63
  6. Step 6: Final answer
    x = 472.14

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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.