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Finding the Fourth Proportional to 410, 565.14 and 299.30

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Solution

The fourth proportional to 410, 565.14 and 299.30 is: 412.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    410 : 565.14 = 299.30 : x
  2. Step 2: Convert to fraction form
    410/565.14 = 299.30/x
  3. Step 3: Cross multiply
    410x = 565.14 × 299.30
  4. Step 4: Simplify right side
    410x = 169,146.40
  5. Step 5: Solve for x
    x = 169,146.40/410
  6. Step 6: Final answer
    x = 412.55

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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.