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Finding the Fourth Proportional to 880.04, 1,320.27 and 332.25

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Solution

The fourth proportional to 880.04, 1,320.27 and 332.25 is: 498.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.04 : 1,320.27 = 332.25 : x
  2. Step 2: Convert to fraction form
    880.04/1,320.27 = 332.25/x
  3. Step 3: Cross multiply
    880.04x = 1,320.27 × 332.25
  4. Step 4: Simplify right side
    880.04x = 438,659.71
  5. Step 5: Solve for x
    x = 438,659.71/880.04
  6. Step 6: Final answer
    x = 498.46

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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.