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Finding the Fourth Proportional to 586.32, 809.34 and 446.46

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Solution

The fourth proportional to 586.32, 809.34 and 446.46 is: 616.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.32 : 809.34 = 446.46 : x
  2. Step 2: Convert to fraction form
    586.32/809.34 = 446.46/x
  3. Step 3: Cross multiply
    586.32x = 809.34 × 446.46
  4. Step 4: Simplify right side
    586.32x = 361,337.94
  5. Step 5: Solve for x
    x = 361,337.94/586.32
  6. Step 6: Final answer
    x = 616.28

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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.