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Finding the Fourth Proportional to 586.38, 809.22 and 455.16

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Solution

The fourth proportional to 586.38, 809.22 and 455.16 is: 628.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.38 : 809.22 = 455.16 : x
  2. Step 2: Convert to fraction form
    586.38/809.22 = 455.16/x
  3. Step 3: Cross multiply
    586.38x = 809.22 × 455.16
  4. Step 4: Simplify right side
    586.38x = 368,324.58
  5. Step 5: Solve for x
    x = 368,324.58/586.38
  6. Step 6: Final answer
    x = 628.13

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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.