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Finding the Fourth Proportional to 535.19, 737.41 and 360.23

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Solution

The fourth proportional to 535.19, 737.41 and 360.23 is: 496.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.19 : 737.41 = 360.23 : x
  2. Step 2: Convert to fraction form
    535.19/737.41 = 360.23/x
  3. Step 3: Cross multiply
    535.19x = 737.41 × 360.23
  4. Step 4: Simplify right side
    535.19x = 265,637.20
  5. Step 5: Solve for x
    x = 265,637.20/535.19
  6. Step 6: Final answer
    x = 496.34

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Double scale
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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.