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Finding the Fourth Proportional to 410.45, 566.13 and 342.96

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Solution

The fourth proportional to 410.45, 566.13 and 342.96 is: 473.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.45 : 566.13 = 342.96 : x
  2. Step 2: Convert to fraction form
    410.45/566.13 = 342.96/x
  3. Step 3: Cross multiply
    410.45x = 566.13 × 342.96
  4. Step 4: Simplify right side
    410.45x = 194,159.94
  5. Step 5: Solve for x
    x = 194,159.94/410.45
  6. Step 6: Final answer
    x = 473.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.