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Finding the Fourth Proportional to 459.42, 687.96 and 253.77

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Solution

The fourth proportional to 459.42, 687.96 and 253.77 is: 380.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.42 : 687.96 = 253.77 : x
  2. Step 2: Convert to fraction form
    459.42/687.96 = 253.77/x
  3. Step 3: Cross multiply
    459.42x = 687.96 × 253.77
  4. Step 4: Simplify right side
    459.42x = 174,583.61
  5. Step 5: Solve for x
    x = 174,583.61/459.42
  6. Step 6: Final answer
    x = 380.01

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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.