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Finding the Fourth Proportional to 589.68, 812.84 and 449.35

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Solution

The fourth proportional to 589.68, 812.84 and 449.35 is: 619.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.68 : 812.84 = 449.35 : x
  2. Step 2: Convert to fraction form
    589.68/812.84 = 449.35/x
  3. Step 3: Cross multiply
    589.68x = 812.84 × 449.35
  4. Step 4: Simplify right side
    589.68x = 365,245.38
  5. Step 5: Solve for x
    x = 365,245.38/589.68
  6. Step 6: Final answer
    x = 619.40

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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.