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Finding the Fourth Proportional to 880.47, 1,215.08 and 482.16

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Solution

The fourth proportional to 880.47, 1,215.08 and 482.16 is: 665.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.47 : 1,215.08 = 482.16 : x
  2. Step 2: Convert to fraction form
    880.47/1,215.08 = 482.16/x
  3. Step 3: Cross multiply
    880.47x = 1,215.08 × 482.16
  4. Step 4: Simplify right side
    880.47x = 585,862.97
  5. Step 5: Solve for x
    x = 585,862.97/880.47
  6. Step 6: Final answer
    x = 665.40

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1.5x scale

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.