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Finding the Fourth Proportional to 584.70, 807.52 and 364.18

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Solution

The fourth proportional to 584.70, 807.52 and 364.18 is: 502.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.70 : 807.52 = 364.18 : x
  2. Step 2: Convert to fraction form
    584.70/807.52 = 364.18/x
  3. Step 3: Cross multiply
    584.70x = 807.52 × 364.18
  4. Step 4: Simplify right side
    584.70x = 294,082.63
  5. Step 5: Solve for x
    x = 294,082.63/584.70
  6. Step 6: Final answer
    x = 502.96

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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.