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Finding the Fourth Proportional to 526.71, 790.08 and 462.88

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Solution

The fourth proportional to 526.71, 790.08 and 462.88 is: 694.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.71 : 790.08 = 462.88 : x
  2. Step 2: Convert to fraction form
    526.71/790.08 = 462.88/x
  3. Step 3: Cross multiply
    526.71x = 790.08 × 462.88
  4. Step 4: Simplify right side
    526.71x = 365,711.48
  5. Step 5: Solve for x
    x = 365,711.48/526.71
  6. Step 6: Final answer
    x = 694.33

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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.