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Finding the Fourth Proportional to 526.79, 790.29 and 161.57

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Solution

The fourth proportional to 526.79, 790.29 and 161.57 is: 242.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.79 : 790.29 = 161.57 : x
  2. Step 2: Convert to fraction form
    526.79/790.29 = 161.57/x
  3. Step 3: Cross multiply
    526.79x = 790.29 × 161.57
  4. Step 4: Simplify right side
    526.79x = 127,683.20
  5. Step 5: Solve for x
    x = 127,683.20/526.79
  6. Step 6: Final answer
    x = 242.38

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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.