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Finding the Fourth Proportional to 585.10, 807.85 and 364.15

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Solution

The fourth proportional to 585.10, 807.85 and 364.15 is: 502.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.10 : 807.85 = 364.15 : x
  2. Step 2: Convert to fraction form
    585.10/807.85 = 364.15/x
  3. Step 3: Cross multiply
    585.10x = 807.85 × 364.15
  4. Step 4: Simplify right side
    585.10x = 294,178.58
  5. Step 5: Solve for x
    x = 294,178.58/585.10
  6. Step 6: Final answer
    x = 502.78

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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.