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Finding the Fourth Proportional to 352.08, 527.58 and 260.35

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Solution

The fourth proportional to 352.08, 527.58 and 260.35 is: 390.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.08 : 527.58 = 260.35 : x
  2. Step 2: Convert to fraction form
    352.08/527.58 = 260.35/x
  3. Step 3: Cross multiply
    352.08x = 527.58 × 260.35
  4. Step 4: Simplify right side
    352.08x = 137,354.13
  5. Step 5: Solve for x
    x = 137,354.13/352.08
  6. Step 6: Final answer
    x = 390.12

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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.