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Finding the Fourth Proportional to 410.80, 565.68 and 312.16

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Solution

The fourth proportional to 410.80, 565.68 and 312.16 is: 429.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.80 : 565.68 = 312.16 : x
  2. Step 2: Convert to fraction form
    410.80/565.68 = 312.16/x
  3. Step 3: Cross multiply
    410.80x = 565.68 × 312.16
  4. Step 4: Simplify right side
    410.80x = 176,582.67
  5. Step 5: Solve for x
    x = 176,582.67/410.80
  6. Step 6: Final answer
    x = 429.85

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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.