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Finding the Fourth Proportional to 555.76, 833.72 and 434.24

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Solution

The fourth proportional to 555.76, 833.72 and 434.24 is: 651.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.76 : 833.72 = 434.24 : x
  2. Step 2: Convert to fraction form
    555.76/833.72 = 434.24/x
  3. Step 3: Cross multiply
    555.76x = 833.72 × 434.24
  4. Step 4: Simplify right side
    555.76x = 362,034.57
  5. Step 5: Solve for x
    x = 362,034.57/555.76
  6. Step 6: Final answer
    x = 651.42

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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.