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Finding the Fourth Proportional to 652.40, 978.08 and 267.92

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Solution

The fourth proportional to 652.40, 978.08 and 267.92 is: 401.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.40 : 978.08 = 267.92 : x
  2. Step 2: Convert to fraction form
    652.40/978.08 = 267.92/x
  3. Step 3: Cross multiply
    652.40x = 978.08 × 267.92
  4. Step 4: Simplify right side
    652.40x = 262,047.19
  5. Step 5: Solve for x
    x = 262,047.19/652.40
  6. Step 6: Final answer
    x = 401.67

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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.