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Finding the Fourth Proportional to 555.99, 766.98 and 356.76

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Solution

The fourth proportional to 555.99, 766.98 and 356.76 is: 492.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.99 : 766.98 = 356.76 : x
  2. Step 2: Convert to fraction form
    555.99/766.98 = 356.76/x
  3. Step 3: Cross multiply
    555.99x = 766.98 × 356.76
  4. Step 4: Simplify right side
    555.99x = 273,627.78
  5. Step 5: Solve for x
    x = 273,627.78/555.99
  6. Step 6: Final answer
    x = 492.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.