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Finding the Fourth Proportional to 410.42, 565.78 and 312

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Solution

The fourth proportional to 410.42, 565.78 and 312 is: 430.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.42 : 565.78 = 312 : x
  2. Step 2: Convert to fraction form
    410.42/565.78 = 312/x
  3. Step 3: Cross multiply
    410.42x = 565.78 × 312
  4. Step 4: Simplify right side
    410.42x = 176,521.80
  5. Step 5: Solve for x
    x = 176,521.80/410.42
  6. Step 6: Final answer
    x = 430.11

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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.