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Finding the Fourth Proportional to 693.95, 958.06 and 432.32

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Solution

The fourth proportional to 693.95, 958.06 and 432.32 is: 596.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.95 : 958.06 = 432.32 : x
  2. Step 2: Convert to fraction form
    693.95/958.06 = 432.32/x
  3. Step 3: Cross multiply
    693.95x = 958.06 × 432.32
  4. Step 4: Simplify right side
    693.95x = 414,184.25
  5. Step 5: Solve for x
    x = 414,184.25/693.95
  6. Step 6: Final answer
    x = 596.85

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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.