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Finding the Fourth Proportional to 586.34, 809.14 and 461.76

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Solution

The fourth proportional to 586.34, 809.14 and 461.76 is: 637.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.34 : 809.14 = 461.76 : x
  2. Step 2: Convert to fraction form
    586.34/809.14 = 461.76/x
  3. Step 3: Cross multiply
    586.34x = 809.14 × 461.76
  4. Step 4: Simplify right side
    586.34x = 373,628.49
  5. Step 5: Solve for x
    x = 373,628.49/586.34
  6. Step 6: Final answer
    x = 637.22

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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.