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Finding the Fourth Proportional to 524.65, 724.08 and 384.70

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Solution

The fourth proportional to 524.65, 724.08 and 384.70 is: 530.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.65 : 724.08 = 384.70 : x
  2. Step 2: Convert to fraction form
    524.65/724.08 = 384.70/x
  3. Step 3: Cross multiply
    524.65x = 724.08 × 384.70
  4. Step 4: Simplify right side
    524.65x = 278,553.58
  5. Step 5: Solve for x
    x = 278,553.58/524.65
  6. Step 6: Final answer
    x = 530.93

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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.