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Finding the Fourth Proportional to 586.74, 809.76 and 421.20

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Solution

The fourth proportional to 586.74, 809.76 and 421.20 is: 581.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.74 : 809.76 = 421.20 : x
  2. Step 2: Convert to fraction form
    586.74/809.76 = 421.20/x
  3. Step 3: Cross multiply
    586.74x = 809.76 × 421.20
  4. Step 4: Simplify right side
    586.74x = 341,070.91
  5. Step 5: Solve for x
    x = 341,070.91/586.74
  6. Step 6: Final answer
    x = 581.30

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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.