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Finding the Fourth Proportional to 530.46, 792 and 497.66

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Solution

The fourth proportional to 530.46, 792 and 497.66 is: 743.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.46 : 792 = 497.66 : x
  2. Step 2: Convert to fraction form
    530.46/792 = 497.66/x
  3. Step 3: Cross multiply
    530.46x = 792 × 497.66
  4. Step 4: Simplify right side
    530.46x = 394,142.76
  5. Step 5: Solve for x
    x = 394,142.76/530.46
  6. Step 6: Final answer
    x = 743.02

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