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Finding the Fourth Proportional to 599.12, 897.52 and 461.49

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Solution

The fourth proportional to 599.12, 897.52 and 461.49 is: 691.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.12 : 897.52 = 461.49 : x
  2. Step 2: Convert to fraction form
    599.12/897.52 = 461.49/x
  3. Step 3: Cross multiply
    599.12x = 897.52 × 461.49
  4. Step 4: Simplify right side
    599.12x = 414,199.54
  5. Step 5: Solve for x
    x = 414,199.54/599.12
  6. Step 6: Final answer
    x = 691.35

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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.