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Finding the Fourth Proportional to 635.16, 875.76 and 414.03

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Solution

The fourth proportional to 635.16, 875.76 and 414.03 is: 570.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.16 : 875.76 = 414.03 : x
  2. Step 2: Convert to fraction form
    635.16/875.76 = 414.03/x
  3. Step 3: Cross multiply
    635.16x = 875.76 × 414.03
  4. Step 4: Simplify right side
    635.16x = 362,590.91
  5. Step 5: Solve for x
    x = 362,590.91/635.16
  6. Step 6: Final answer
    x = 570.87

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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.