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Finding the Fourth Proportional to 590.72, 883.76 and 467.68

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Solution

The fourth proportional to 590.72, 883.76 and 467.68 is: 699.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.72 : 883.76 = 467.68 : x
  2. Step 2: Convert to fraction form
    590.72/883.76 = 467.68/x
  3. Step 3: Cross multiply
    590.72x = 883.76 × 467.68
  4. Step 4: Simplify right side
    590.72x = 413,316.88
  5. Step 5: Solve for x
    x = 413,316.88/590.72
  6. Step 6: Final answer
    x = 699.68

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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.