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Finding the Fourth Proportional to 964.34, 1,446.58 and 315.08

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Solution

The fourth proportional to 964.34, 1,446.58 and 315.08 is: 472.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.34 : 1,446.58 = 315.08 : x
  2. Step 2: Convert to fraction form
    964.34/1,446.58 = 315.08/x
  3. Step 3: Cross multiply
    964.34x = 1,446.58 × 315.08
  4. Step 4: Simplify right side
    964.34x = 455,788.43
  5. Step 5: Solve for x
    x = 455,788.43/964.34
  6. Step 6: Final answer
    x = 472.64

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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.