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Finding the Fourth Proportional to 332.13, 457.20 and 297.84

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Solution

The fourth proportional to 332.13, 457.20 and 297.84 is: 410.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.13 : 457.20 = 297.84 : x
  2. Step 2: Convert to fraction form
    332.13/457.20 = 297.84/x
  3. Step 3: Cross multiply
    332.13x = 457.20 × 297.84
  4. Step 4: Simplify right side
    332.13x = 136,172.45
  5. Step 5: Solve for x
    x = 136,172.45/332.13
  6. Step 6: Final answer
    x = 410.00

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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.