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Finding the Fourth Proportional to 485.84, 669.80 and 415.59

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Solution

The fourth proportional to 485.84, 669.80 and 415.59 is: 572.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.84 : 669.80 = 415.59 : x
  2. Step 2: Convert to fraction form
    485.84/669.80 = 415.59/x
  3. Step 3: Cross multiply
    485.84x = 669.80 × 415.59
  4. Step 4: Simplify right side
    485.84x = 278,360.10
  5. Step 5: Solve for x
    x = 278,360.10/485.84
  6. Step 6: Final answer
    x = 572.95

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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.