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Finding the Fourth Proportional to 332.36, 458.88 and 297.28

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Solution

The fourth proportional to 332.36, 458.88 and 297.28 is: 410.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.36 : 458.88 = 297.28 : x
  2. Step 2: Convert to fraction form
    332.36/458.88 = 297.28/x
  3. Step 3: Cross multiply
    332.36x = 458.88 × 297.28
  4. Step 4: Simplify right side
    332.36x = 136,415.85
  5. Step 5: Solve for x
    x = 136,415.85/332.36
  6. Step 6: Final answer
    x = 410.45

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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.