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Finding the Fourth Proportional to 587.16, 809.98 and 362.92

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Solution

The fourth proportional to 587.16, 809.98 and 362.92 is: 500.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.16 : 809.98 = 362.92 : x
  2. Step 2: Convert to fraction form
    587.16/809.98 = 362.92/x
  3. Step 3: Cross multiply
    587.16x = 809.98 × 362.92
  4. Step 4: Simplify right side
    587.16x = 293,957.94
  5. Step 5: Solve for x
    x = 293,957.94/587.16
  6. Step 6: Final answer
    x = 500.64

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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.