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Finding the Fourth Proportional to 485.16, 731.61 and 473.16

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Solution

The fourth proportional to 485.16, 731.61 and 473.16 is: 713.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.16 : 731.61 = 473.16 : x
  2. Step 2: Convert to fraction form
    485.16/731.61 = 473.16/x
  3. Step 3: Cross multiply
    485.16x = 731.61 × 473.16
  4. Step 4: Simplify right side
    485.16x = 346,168.59
  5. Step 5: Solve for x
    x = 346,168.59/485.16
  6. Step 6: Final answer
    x = 713.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.