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Finding the Fourth Proportional to 523.80, 723.60 and 484.92

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Solution

The fourth proportional to 523.80, 723.60 and 484.92 is: 669.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.80 : 723.60 = 484.92 : x
  2. Step 2: Convert to fraction form
    523.80/723.60 = 484.92/x
  3. Step 3: Cross multiply
    523.80x = 723.60 × 484.92
  4. Step 4: Simplify right side
    523.80x = 350,888.11
  5. Step 5: Solve for x
    x = 350,888.11/523.80
  6. Step 6: Final answer
    x = 669.89

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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.