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Finding the Fourth Proportional to 614.16, 915.30 and 593.36

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Solution

The fourth proportional to 614.16, 915.30 and 593.36 is: 884.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.16 : 915.30 = 593.36 : x
  2. Step 2: Convert to fraction form
    614.16/915.30 = 593.36/x
  3. Step 3: Cross multiply
    614.16x = 915.30 × 593.36
  4. Step 4: Simplify right side
    614.16x = 543,102.41
  5. Step 5: Solve for x
    x = 543,102.41/614.16
  6. Step 6: Final answer
    x = 884.30

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Why These Related Problems?

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