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Finding the Fourth Proportional to 590.56, 887.52 and 576

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Solution

The fourth proportional to 590.56, 887.52 and 576 is: 865.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.56 : 887.52 = 576 : x
  2. Step 2: Convert to fraction form
    590.56/887.52 = 576/x
  3. Step 3: Cross multiply
    590.56x = 887.52 × 576
  4. Step 4: Simplify right side
    590.56x = 511,211.52
  5. Step 5: Solve for x
    x = 511,211.52/590.56
  6. Step 6: Final answer
    x = 865.64

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Why These Related Problems?

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