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Finding the Fourth Proportional to 354.61, 534.32 and 295.07

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Solution

The fourth proportional to 354.61, 534.32 and 295.07 is: 444.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.61 : 534.32 = 295.07 : x
  2. Step 2: Convert to fraction form
    354.61/534.32 = 295.07/x
  3. Step 3: Cross multiply
    354.61x = 534.32 × 295.07
  4. Step 4: Simplify right side
    354.61x = 157,661.80
  5. Step 5: Solve for x
    x = 157,661.80/354.61
  6. Step 6: Final answer
    x = 444.61

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.