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Finding the Fourth Proportional to 555.48, 833.58 and 414.72

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Solution

The fourth proportional to 555.48, 833.58 and 414.72 is: 622.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.48 : 833.58 = 414.72 : x
  2. Step 2: Convert to fraction form
    555.48/833.58 = 414.72/x
  3. Step 3: Cross multiply
    555.48x = 833.58 × 414.72
  4. Step 4: Simplify right side
    555.48x = 345,702.30
  5. Step 5: Solve for x
    x = 345,702.30/555.48
  6. Step 6: Final answer
    x = 622.35

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Why These Related Problems?

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