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Finding the Fourth Proportional to 473.68, 653.70 and 263.86

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Solution

The fourth proportional to 473.68, 653.70 and 263.86 is: 364.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.68 : 653.70 = 263.86 : x
  2. Step 2: Convert to fraction form
    473.68/653.70 = 263.86/x
  3. Step 3: Cross multiply
    473.68x = 653.70 × 263.86
  4. Step 4: Simplify right side
    473.68x = 172,484.64
  5. Step 5: Solve for x
    x = 172,484.64/473.68
  6. Step 6: Final answer
    x = 364.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.