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Finding the Fourth Proportional to 628.65, 867.51 and 380.07

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Solution

The fourth proportional to 628.65, 867.51 and 380.07 is: 524.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.65 : 867.51 = 380.07 : x
  2. Step 2: Convert to fraction form
    628.65/867.51 = 380.07/x
  3. Step 3: Cross multiply
    628.65x = 867.51 × 380.07
  4. Step 4: Simplify right side
    628.65x = 329,714.53
  5. Step 5: Solve for x
    x = 329,714.53/628.65
  6. Step 6: Final answer
    x = 524.48

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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.