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Finding the Fourth Proportional to 357.92, 532.32 and 354.08

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Solution

The fourth proportional to 357.92, 532.32 and 354.08 is: 526.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.92 : 532.32 = 354.08 : x
  2. Step 2: Convert to fraction form
    357.92/532.32 = 354.08/x
  3. Step 3: Cross multiply
    357.92x = 532.32 × 354.08
  4. Step 4: Simplify right side
    357.92x = 188,483.87
  5. Step 5: Solve for x
    x = 188,483.87/357.92
  6. Step 6: Final answer
    x = 526.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.