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Finding the Fourth Proportional to 485.58, 729.16 and 446.08

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Solution

The fourth proportional to 485.58, 729.16 and 446.08 is: 669.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.58 : 729.16 = 446.08 : x
  2. Step 2: Convert to fraction form
    485.58/729.16 = 446.08/x
  3. Step 3: Cross multiply
    485.58x = 729.16 × 446.08
  4. Step 4: Simplify right side
    485.58x = 325,263.69
  5. Step 5: Solve for x
    x = 325,263.69/485.58
  6. Step 6: Final answer
    x = 669.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.