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Finding the Fourth Proportional to 410.04, 565.84 and 223.53

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Solution

The fourth proportional to 410.04, 565.84 and 223.53 is: 308.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.04 : 565.84 = 223.53 : x
  2. Step 2: Convert to fraction form
    410.04/565.84 = 223.53/x
  3. Step 3: Cross multiply
    410.04x = 565.84 × 223.53
  4. Step 4: Simplify right side
    410.04x = 126,482.22
  5. Step 5: Solve for x
    x = 126,482.22/410.04
  6. Step 6: Final answer
    x = 308.46

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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.