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Finding the Fourth Proportional to 448.92, 670.09 and 397.08

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Solution

The fourth proportional to 448.92, 670.09 and 397.08 is: 592.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.92 : 670.09 = 397.08 : x
  2. Step 2: Convert to fraction form
    448.92/670.09 = 397.08/x
  3. Step 3: Cross multiply
    448.92x = 670.09 × 397.08
  4. Step 4: Simplify right side
    448.92x = 266,079.34
  5. Step 5: Solve for x
    x = 266,079.34/448.92
  6. Step 6: Final answer
    x = 592.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.