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Finding the Fourth Proportional to 476.04, 707.63 and 462.02

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Solution

The fourth proportional to 476.04, 707.63 and 462.02 is: 686.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.04 : 707.63 = 462.02 : x
  2. Step 2: Convert to fraction form
    476.04/707.63 = 462.02/x
  3. Step 3: Cross multiply
    476.04x = 707.63 × 462.02
  4. Step 4: Simplify right side
    476.04x = 326,940.98
  5. Step 5: Solve for x
    x = 326,940.98/476.04
  6. Step 6: Final answer
    x = 686.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.