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Finding the Fourth Proportional to 598.64, 825.16 and 446.98

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Solution

The fourth proportional to 598.64, 825.16 and 446.98 is: 616.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.64 : 825.16 = 446.98 : x
  2. Step 2: Convert to fraction form
    598.64/825.16 = 446.98/x
  3. Step 3: Cross multiply
    598.64x = 825.16 × 446.98
  4. Step 4: Simplify right side
    598.64x = 368,830.02
  5. Step 5: Solve for x
    x = 368,830.02/598.64
  6. Step 6: Final answer
    x = 616.11

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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.