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Finding the Fourth Proportional to 555.12, 829.74 and 500.16

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Solution

The fourth proportional to 555.12, 829.74 and 500.16 is: 747.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.12 : 829.74 = 500.16 : x
  2. Step 2: Convert to fraction form
    555.12/829.74 = 500.16/x
  3. Step 3: Cross multiply
    555.12x = 829.74 × 500.16
  4. Step 4: Simplify right side
    555.12x = 415,002.76
  5. Step 5: Solve for x
    x = 415,002.76/555.12
  6. Step 6: Final answer
    x = 747.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.