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Finding the Fourth Proportional to 582.48, 803.52 and 385.66

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Solution

The fourth proportional to 582.48, 803.52 and 385.66 is: 532.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.48 : 803.52 = 385.66 : x
  2. Step 2: Convert to fraction form
    582.48/803.52 = 385.66/x
  3. Step 3: Cross multiply
    582.48x = 803.52 × 385.66
  4. Step 4: Simplify right side
    582.48x = 309,885.52
  5. Step 5: Solve for x
    x = 309,885.52/582.48
  6. Step 6: Final answer
    x = 532.01

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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.