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Finding the Fourth Proportional to 610.64, 915.71 and 264.14

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Solution

The fourth proportional to 610.64, 915.71 and 264.14 is: 396.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.64 : 915.71 = 264.14 : x
  2. Step 2: Convert to fraction form
    610.64/915.71 = 264.14/x
  3. Step 3: Cross multiply
    610.64x = 915.71 × 264.14
  4. Step 4: Simplify right side
    610.64x = 241,874.32
  5. Step 5: Solve for x
    x = 241,874.32/610.64
  6. Step 6: Final answer
    x = 396.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.