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Finding the Fourth Proportional to 526.30, 725.79 and 368.85

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Solution

The fourth proportional to 526.30, 725.79 and 368.85 is: 508.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.30 : 725.79 = 368.85 : x
  2. Step 2: Convert to fraction form
    526.30/725.79 = 368.85/x
  3. Step 3: Cross multiply
    526.30x = 725.79 × 368.85
  4. Step 4: Simplify right side
    526.30x = 267,711.75
  5. Step 5: Solve for x
    x = 267,711.75/526.30
  6. Step 6: Final answer
    x = 508.67

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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.