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Finding the Fourth Proportional to 462.61, 637.88 and 434.36

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Solution

The fourth proportional to 462.61, 637.88 and 434.36 is: 598.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.61 : 637.88 = 434.36 : x
  2. Step 2: Convert to fraction form
    462.61/637.88 = 434.36/x
  3. Step 3: Cross multiply
    462.61x = 637.88 × 434.36
  4. Step 4: Simplify right side
    462.61x = 277,068.98
  5. Step 5: Solve for x
    x = 277,068.98/462.61
  6. Step 6: Final answer
    x = 598.92

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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.