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Finding the Fourth Proportional to 532.24, 797.07 and 440.26

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Solution

The fourth proportional to 532.24, 797.07 and 440.26 is: 659.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.24 : 797.07 = 440.26 : x
  2. Step 2: Convert to fraction form
    532.24/797.07 = 440.26/x
  3. Step 3: Cross multiply
    532.24x = 797.07 × 440.26
  4. Step 4: Simplify right side
    532.24x = 350,918.04
  5. Step 5: Solve for x
    x = 350,918.04/532.24
  6. Step 6: Final answer
    x = 659.32

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1.5x scale

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.