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Finding the Fourth Proportional to 584.94, 807.30 and 364.13

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Solution

The fourth proportional to 584.94, 807.30 and 364.13 is: 502.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.94 : 807.30 = 364.13 : x
  2. Step 2: Convert to fraction form
    584.94/807.30 = 364.13/x
  3. Step 3: Cross multiply
    584.94x = 807.30 × 364.13
  4. Step 4: Simplify right side
    584.94x = 293,962.15
  5. Step 5: Solve for x
    x = 293,962.15/584.94
  6. Step 6: Final answer
    x = 502.55

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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.