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Finding the Fourth Proportional to 485.15, 722.50 and 464.09

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Solution

The fourth proportional to 485.15, 722.50 and 464.09 is: 691.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.15 : 722.50 = 464.09 : x
  2. Step 2: Convert to fraction form
    485.15/722.50 = 464.09/x
  3. Step 3: Cross multiply
    485.15x = 722.50 × 464.09
  4. Step 4: Simplify right side
    485.15x = 335,300.25
  5. Step 5: Solve for x
    x = 335,300.25/485.15
  6. Step 6: Final answer
    x = 691.13

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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.