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Finding the Fourth Proportional to 352, 484.32 and 264.32

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Solution

The fourth proportional to 352, 484.32 and 264.32 is: 363.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    352 : 484.32 = 264.32 : x
  2. Step 2: Convert to fraction form
    352/484.32 = 264.32/x
  3. Step 3: Cross multiply
    352x = 484.32 × 264.32
  4. Step 4: Simplify right side
    352x = 128,015.46
  5. Step 5: Solve for x
    x = 128,015.46/352
  6. Step 6: Final answer
    x = 363.68

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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.