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Finding the Fourth Proportional to 624.02, 931.68 and 587.16

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Solution

The fourth proportional to 624.02, 931.68 and 587.16 is: 876.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.02 : 931.68 = 587.16 : x
  2. Step 2: Convert to fraction form
    624.02/931.68 = 587.16/x
  3. Step 3: Cross multiply
    624.02x = 931.68 × 587.16
  4. Step 4: Simplify right side
    624.02x = 547,045.23
  5. Step 5: Solve for x
    x = 547,045.23/624.02
  6. Step 6: Final answer
    x = 876.65

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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.