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Finding the Fourth Proportional to 590.40, 887.52 and 587.52

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Solution

The fourth proportional to 590.40, 887.52 and 587.52 is: 883.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.40 : 887.52 = 587.52 : x
  2. Step 2: Convert to fraction form
    590.40/887.52 = 587.52/x
  3. Step 3: Cross multiply
    590.40x = 887.52 × 587.52
  4. Step 4: Simplify right side
    590.40x = 521,435.75
  5. Step 5: Solve for x
    x = 521,435.75/590.40
  6. Step 6: Final answer
    x = 883.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.