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Finding the Fourth Proportional to 410.64, 566.52 and 270.83

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Solution

The fourth proportional to 410.64, 566.52 and 270.83 is: 373.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.64 : 566.52 = 270.83 : x
  2. Step 2: Convert to fraction form
    410.64/566.52 = 270.83/x
  3. Step 3: Cross multiply
    410.64x = 566.52 × 270.83
  4. Step 4: Simplify right side
    410.64x = 153,430.61
  5. Step 5: Solve for x
    x = 153,430.61/410.64
  6. Step 6: Final answer
    x = 373.64

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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.