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Finding the Fourth Proportional to 473.86, 709.26 and 253.93

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Solution

The fourth proportional to 473.86, 709.26 and 253.93 is: 380.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.86 : 709.26 = 253.93 : x
  2. Step 2: Convert to fraction form
    473.86/709.26 = 253.93/x
  3. Step 3: Cross multiply
    473.86x = 709.26 × 253.93
  4. Step 4: Simplify right side
    473.86x = 180,102.39
  5. Step 5: Solve for x
    x = 180,102.39/473.86
  6. Step 6: Final answer
    x = 380.08

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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.