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Finding the Fourth Proportional to 614.56, 916.58 and 592.96

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Solution

The fourth proportional to 614.56, 916.58 and 592.96 is: 884.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.56 : 916.58 = 592.96 : x
  2. Step 2: Convert to fraction form
    614.56/916.58 = 592.96/x
  3. Step 3: Cross multiply
    614.56x = 916.58 × 592.96
  4. Step 4: Simplify right side
    614.56x = 543,495.28
  5. Step 5: Solve for x
    x = 543,495.28/614.56
  6. Step 6: Final answer
    x = 884.36

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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.