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Finding the Fourth Proportional to 595.11, 886.14 and 588.58

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Solution

The fourth proportional to 595.11, 886.14 and 588.58 is: 876.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.11 : 886.14 = 588.58 : x
  2. Step 2: Convert to fraction form
    595.11/886.14 = 588.58/x
  3. Step 3: Cross multiply
    595.11x = 886.14 × 588.58
  4. Step 4: Simplify right side
    595.11x = 521,564.28
  5. Step 5: Solve for x
    x = 521,564.28/595.11
  6. Step 6: Final answer
    x = 876.42

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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.