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Finding the Fourth Proportional to 410.80, 565.60 and 345.16

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Solution

The fourth proportional to 410.80, 565.60 and 345.16 is: 475.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.80 : 565.60 = 345.16 : x
  2. Step 2: Convert to fraction form
    410.80/565.60 = 345.16/x
  3. Step 3: Cross multiply
    410.80x = 565.60 × 345.16
  4. Step 4: Simplify right side
    410.80x = 195,222.50
  5. Step 5: Solve for x
    x = 195,222.50/410.80
  6. Step 6: Final answer
    x = 475.23

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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.