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Finding the Fourth Proportional to 806.52, 1,210.08 and 373.56

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Solution

The fourth proportional to 806.52, 1,210.08 and 373.56 is: 560.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.52 : 1,210.08 = 373.56 : x
  2. Step 2: Convert to fraction form
    806.52/1,210.08 = 373.56/x
  3. Step 3: Cross multiply
    806.52x = 1,210.08 × 373.56
  4. Step 4: Simplify right side
    806.52x = 452,037.48
  5. Step 5: Solve for x
    x = 452,037.48/806.52
  6. Step 6: Final answer
    x = 560.48

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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.