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Finding the Fourth Proportional to 1,473.62, 2,210.53 and 433.61

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Solution

The fourth proportional to 1,473.62, 2,210.53 and 433.61 is: 650.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,473.62 : 2,210.53 = 433.61 : x
  2. Step 2: Convert to fraction form
    1,473.62/2,210.53 = 433.61/x
  3. Step 3: Cross multiply
    1,473.62x = 2,210.53 × 433.61
  4. Step 4: Simplify right side
    1,473.62x = 958,495.78
  5. Step 5: Solve for x
    x = 958,495.78/1,473.62
  6. Step 6: Final answer
    x = 650.44

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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.