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Finding the Fourth Proportional to 462.16, 635.68 and 435.52

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Solution

The fourth proportional to 462.16, 635.68 and 435.52 is: 599.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.16 : 635.68 = 435.52 : x
  2. Step 2: Convert to fraction form
    462.16/635.68 = 435.52/x
  3. Step 3: Cross multiply
    462.16x = 635.68 × 435.52
  4. Step 4: Simplify right side
    462.16x = 276,851.35
  5. Step 5: Solve for x
    x = 276,851.35/462.16
  6. Step 6: Final answer
    x = 599.04

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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.