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Finding the Fourth Proportional to 653.32, 901.63 and 496.39

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Solution

The fourth proportional to 653.32, 901.63 and 496.39 is: 685.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.32 : 901.63 = 496.39 : x
  2. Step 2: Convert to fraction form
    653.32/901.63 = 496.39/x
  3. Step 3: Cross multiply
    653.32x = 901.63 × 496.39
  4. Step 4: Simplify right side
    653.32x = 447,555.61
  5. Step 5: Solve for x
    x = 447,555.61/653.32
  6. Step 6: Final answer
    x = 685.05

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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.