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Finding the Fourth Proportional to 588.16, 876.84 and 542.08

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Solution

The fourth proportional to 588.16, 876.84 and 542.08 is: 808.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.16 : 876.84 = 542.08 : x
  2. Step 2: Convert to fraction form
    588.16/876.84 = 542.08/x
  3. Step 3: Cross multiply
    588.16x = 876.84 × 542.08
  4. Step 4: Simplify right side
    588.16x = 475,317.43
  5. Step 5: Solve for x
    x = 475,317.43/588.16
  6. Step 6: Final answer
    x = 808.14

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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.