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Finding the Fourth Proportional to 582.61, 804.68 and 385.78

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Solution

The fourth proportional to 582.61, 804.68 and 385.78 is: 532.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.61 : 804.68 = 385.78 : x
  2. Step 2: Convert to fraction form
    582.61/804.68 = 385.78/x
  3. Step 3: Cross multiply
    582.61x = 804.68 × 385.78
  4. Step 4: Simplify right side
    582.61x = 310,430.64
  5. Step 5: Solve for x
    x = 310,430.64/582.61
  6. Step 6: Final answer
    x = 532.83

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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.