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Finding the Fourth Proportional to 576.42, 793.56 and 498.78

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Solution

The fourth proportional to 576.42, 793.56 and 498.78 is: 686.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.42 : 793.56 = 498.78 : x
  2. Step 2: Convert to fraction form
    576.42/793.56 = 498.78/x
  3. Step 3: Cross multiply
    576.42x = 793.56 × 498.78
  4. Step 4: Simplify right side
    576.42x = 395,811.86
  5. Step 5: Solve for x
    x = 395,811.86/576.42
  6. Step 6: Final answer
    x = 686.67

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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.