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Finding the Fourth Proportional to 586.63, 809.57 and 324.64

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Solution

The fourth proportional to 586.63, 809.57 and 324.64 is: 448.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.63 : 809.57 = 324.64 : x
  2. Step 2: Convert to fraction form
    586.63/809.57 = 324.64/x
  3. Step 3: Cross multiply
    586.63x = 809.57 × 324.64
  4. Step 4: Simplify right side
    586.63x = 262,818.80
  5. Step 5: Solve for x
    x = 262,818.80/586.63
  6. Step 6: Final answer
    x = 448.02

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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.