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Finding the Fourth Proportional to 628.22, 864.76 and 558.16

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Solution

The fourth proportional to 628.22, 864.76 and 558.16 is: 768.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.22 : 864.76 = 558.16 : x
  2. Step 2: Convert to fraction form
    628.22/864.76 = 558.16/x
  3. Step 3: Cross multiply
    628.22x = 864.76 × 558.16
  4. Step 4: Simplify right side
    628.22x = 482,674.44
  5. Step 5: Solve for x
    x = 482,674.44/628.22
  6. Step 6: Final answer
    x = 768.32

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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.