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Finding the Fourth Proportional to 530.96, 730.68 and 527.81

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Solution

The fourth proportional to 530.96, 730.68 and 527.81 is: 726.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.96 : 730.68 = 527.81 : x
  2. Step 2: Convert to fraction form
    530.96/730.68 = 527.81/x
  3. Step 3: Cross multiply
    530.96x = 730.68 × 527.81
  4. Step 4: Simplify right side
    530.96x = 385,660.21
  5. Step 5: Solve for x
    x = 385,660.21/530.96
  6. Step 6: Final answer
    x = 726.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.