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Finding the Fourth Proportional to 459.14, 686.98 and 305.44

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Solution

The fourth proportional to 459.14, 686.98 and 305.44 is: 457.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.14 : 686.98 = 305.44 : x
  2. Step 2: Convert to fraction form
    459.14/686.98 = 305.44/x
  3. Step 3: Cross multiply
    459.14x = 686.98 × 305.44
  4. Step 4: Simplify right side
    459.14x = 209,831.17
  5. Step 5: Solve for x
    x = 209,831.17/459.14
  6. Step 6: Final answer
    x = 457.01

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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.