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Finding the Fourth Proportional to 582.47, 803.65 and 346.42

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Solution

The fourth proportional to 582.47, 803.65 and 346.42 is: 477.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.47 : 803.65 = 346.42 : x
  2. Step 2: Convert to fraction form
    582.47/803.65 = 346.42/x
  3. Step 3: Cross multiply
    582.47x = 803.65 × 346.42
  4. Step 4: Simplify right side
    582.47x = 278,400.43
  5. Step 5: Solve for x
    x = 278,400.43/582.47
  6. Step 6: Final answer
    x = 477.97

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