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Finding the Fourth Proportional to 594.80, 886.10 and 588.32

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Solution

The fourth proportional to 594.80, 886.10 and 588.32 is: 876.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.80 : 886.10 = 588.32 : x
  2. Step 2: Convert to fraction form
    594.80/886.10 = 588.32/x
  3. Step 3: Cross multiply
    594.80x = 886.10 × 588.32
  4. Step 4: Simplify right side
    594.80x = 521,305.19
  5. Step 5: Solve for x
    x = 521,305.19/594.80
  6. Step 6: Final answer
    x = 876.45

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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.