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Finding the Fourth Proportional to 555.32, 832.96 and 295.24

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Solution

The fourth proportional to 555.32, 832.96 and 295.24 is: 442.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.32 : 832.96 = 295.24 : x
  2. Step 2: Convert to fraction form
    555.32/832.96 = 295.24/x
  3. Step 3: Cross multiply
    555.32x = 832.96 × 295.24
  4. Step 4: Simplify right side
    555.32x = 245,923.11
  5. Step 5: Solve for x
    x = 245,923.11/555.32
  6. Step 6: Final answer
    x = 442.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.