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Finding the Fourth Proportional to 589.92, 814.14 and 357.18

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Solution

The fourth proportional to 589.92, 814.14 and 357.18 is: 492.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.92 : 814.14 = 357.18 : x
  2. Step 2: Convert to fraction form
    589.92/814.14 = 357.18/x
  3. Step 3: Cross multiply
    589.92x = 814.14 × 357.18
  4. Step 4: Simplify right side
    589.92x = 290,794.53
  5. Step 5: Solve for x
    x = 290,794.53/589.92
  6. Step 6: Final answer
    x = 492.94

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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.