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Finding the Fourth Proportional to 459.48, 689.94 and 457.32

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Solution

The fourth proportional to 459.48, 689.94 and 457.32 is: 686.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.48 : 689.94 = 457.32 : x
  2. Step 2: Convert to fraction form
    459.48/689.94 = 457.32/x
  3. Step 3: Cross multiply
    459.48x = 689.94 × 457.32
  4. Step 4: Simplify right side
    459.48x = 315,523.36
  5. Step 5: Solve for x
    x = 315,523.36/459.48
  6. Step 6: Final answer
    x = 686.70

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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.