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Finding the Fourth Proportional to 599.49, 900.45 and 462.83

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Solution

The fourth proportional to 599.49, 900.45 and 462.83 is: 695.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.49 : 900.45 = 462.83 : x
  2. Step 2: Convert to fraction form
    599.49/900.45 = 462.83/x
  3. Step 3: Cross multiply
    599.49x = 900.45 × 462.83
  4. Step 4: Simplify right side
    599.49x = 416,750.77
  5. Step 5: Solve for x
    x = 416,750.77/599.49
  6. Step 6: Final answer
    x = 695.18

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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.