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Finding the Fourth Proportional to 610.34, 915.71 and 285.93

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Solution

The fourth proportional to 610.34, 915.71 and 285.93 is: 428.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.34 : 915.71 = 285.93 : x
  2. Step 2: Convert to fraction form
    610.34/915.71 = 285.93/x
  3. Step 3: Cross multiply
    610.34x = 915.71 × 285.93
  4. Step 4: Simplify right side
    610.34x = 261,827.53
  5. Step 5: Solve for x
    x = 261,827.53/610.34
  6. Step 6: Final answer
    x = 428.99

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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.