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Finding the Fourth Proportional to 593.92, 891.18 and 305.32

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Solution

The fourth proportional to 593.92, 891.18 and 305.32 is: 458.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.92 : 891.18 = 305.32 : x
  2. Step 2: Convert to fraction form
    593.92/891.18 = 305.32/x
  3. Step 3: Cross multiply
    593.92x = 891.18 × 305.32
  4. Step 4: Simplify right side
    593.92x = 272,095.08
  5. Step 5: Solve for x
    x = 272,095.08/593.92
  6. Step 6: Final answer
    x = 458.13

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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.