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Finding the Fourth Proportional to 582.89, 803.72 and 425.24

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Solution

The fourth proportional to 582.89, 803.72 and 425.24 is: 586.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.89 : 803.72 = 425.24 : x
  2. Step 2: Convert to fraction form
    582.89/803.72 = 425.24/x
  3. Step 3: Cross multiply
    582.89x = 803.72 × 425.24
  4. Step 4: Simplify right side
    582.89x = 341,773.89
  5. Step 5: Solve for x
    x = 341,773.89/582.89
  6. Step 6: Final answer
    x = 586.34

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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.