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Finding the Fourth Proportional to 459.24, 689.02 and 314.60

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Solution

The fourth proportional to 459.24, 689.02 and 314.60 is: 472.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.24 : 689.02 = 314.60 : x
  2. Step 2: Convert to fraction form
    459.24/689.02 = 314.60/x
  3. Step 3: Cross multiply
    459.24x = 689.02 × 314.60
  4. Step 4: Simplify right side
    459.24x = 216,765.69
  5. Step 5: Solve for x
    x = 216,765.69/459.24
  6. Step 6: Final answer
    x = 472.01

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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.