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Finding the Fourth Proportional to 624.84, 937.28 and 596.76

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Solution

The fourth proportional to 624.84, 937.28 and 596.76 is: 895.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.84 : 937.28 = 596.76 : x
  2. Step 2: Convert to fraction form
    624.84/937.28 = 596.76/x
  3. Step 3: Cross multiply
    624.84x = 937.28 × 596.76
  4. Step 4: Simplify right side
    624.84x = 559,331.21
  5. Step 5: Solve for x
    x = 559,331.21/624.84
  6. Step 6: Final answer
    x = 895.16

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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.