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Finding the Fourth Proportional to 459.16, 688.74 and 277.84

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Solution

The fourth proportional to 459.16, 688.74 and 277.84 is: 416.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.16 : 688.74 = 277.84 : x
  2. Step 2: Convert to fraction form
    459.16/688.74 = 277.84/x
  3. Step 3: Cross multiply
    459.16x = 688.74 × 277.84
  4. Step 4: Simplify right side
    459.16x = 191,359.52
  5. Step 5: Solve for x
    x = 191,359.52/459.16
  6. Step 6: Final answer
    x = 416.76

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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.