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Finding the Fourth Proportional to 582.24, 803.04 and 374.88

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Solution

The fourth proportional to 582.24, 803.04 and 374.88 is: 517.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.24 : 803.04 = 374.88 : x
  2. Step 2: Convert to fraction form
    582.24/803.04 = 374.88/x
  3. Step 3: Cross multiply
    582.24x = 803.04 × 374.88
  4. Step 4: Simplify right side
    582.24x = 301,043.64
  5. Step 5: Solve for x
    x = 301,043.64/582.24
  6. Step 6: Final answer
    x = 517.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.