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Finding the Fourth Proportional to 467.04, 695.20 and 460.10

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Solution

The fourth proportional to 467.04, 695.20 and 460.10 is: 684.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.04 : 695.20 = 460.10 : x
  2. Step 2: Convert to fraction form
    467.04/695.20 = 460.10/x
  3. Step 3: Cross multiply
    467.04x = 695.20 × 460.10
  4. Step 4: Simplify right side
    467.04x = 319,861.52
  5. Step 5: Solve for x
    x = 319,861.52/467.04
  6. Step 6: Final answer
    x = 684.87

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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.