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Finding the Fourth Proportional to 590.02, 884.28 and 316.24

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Solution

The fourth proportional to 590.02, 884.28 and 316.24 is: 473.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.02 : 884.28 = 316.24 : x
  2. Step 2: Convert to fraction form
    590.02/884.28 = 316.24/x
  3. Step 3: Cross multiply
    590.02x = 884.28 × 316.24
  4. Step 4: Simplify right side
    590.02x = 279,644.71
  5. Step 5: Solve for x
    x = 279,644.71/590.02
  6. Step 6: Final answer
    x = 473.96

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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.