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Finding the Fourth Proportional to 410.42, 566.46 and 233.40

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Solution

The fourth proportional to 410.42, 566.46 and 233.40 is: 322.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.42 : 566.46 = 233.40 : x
  2. Step 2: Convert to fraction form
    410.42/566.46 = 233.40/x
  3. Step 3: Cross multiply
    410.42x = 566.46 × 233.40
  4. Step 4: Simplify right side
    410.42x = 132,211.76
  5. Step 5: Solve for x
    x = 132,211.76/410.42
  6. Step 6: Final answer
    x = 322.14

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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.