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Finding the Fourth Proportional to 448.34, 675.92 and 417.02

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Solution

The fourth proportional to 448.34, 675.92 and 417.02 is: 628.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.34 : 675.92 = 417.02 : x
  2. Step 2: Convert to fraction form
    448.34/675.92 = 417.02/x
  3. Step 3: Cross multiply
    448.34x = 675.92 × 417.02
  4. Step 4: Simplify right side
    448.34x = 281,872.16
  5. Step 5: Solve for x
    x = 281,872.16/448.34
  6. Step 6: Final answer
    x = 628.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.