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Finding the Fourth Proportional to 693.38, 956.86 and 431.39

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Solution

The fourth proportional to 693.38, 956.86 and 431.39 is: 595.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.38 : 956.86 = 431.39 : x
  2. Step 2: Convert to fraction form
    693.38/956.86 = 431.39/x
  3. Step 3: Cross multiply
    693.38x = 956.86 × 431.39
  4. Step 4: Simplify right side
    693.38x = 412,779.84
  5. Step 5: Solve for x
    x = 412,779.84/693.38
  6. Step 6: Final answer
    x = 595.32

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1.5x scale

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.