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Finding the Fourth Proportional to 635.34, 876.35 and 458.01

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Solution

The fourth proportional to 635.34, 876.35 and 458.01 is: 631.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.34 : 876.35 = 458.01 : x
  2. Step 2: Convert to fraction form
    635.34/876.35 = 458.01/x
  3. Step 3: Cross multiply
    635.34x = 876.35 × 458.01
  4. Step 4: Simplify right side
    635.34x = 401,375.81
  5. Step 5: Solve for x
    x = 401,375.81/635.34
  6. Step 6: Final answer
    x = 631.75

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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.