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Finding the Fourth Proportional to 510.41, 764.13 and 457.65

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Solution

The fourth proportional to 510.41, 764.13 and 457.65 is: 685.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.41 : 764.13 = 457.65 : x
  2. Step 2: Convert to fraction form
    510.41/764.13 = 457.65/x
  3. Step 3: Cross multiply
    510.41x = 764.13 × 457.65
  4. Step 4: Simplify right side
    510.41x = 349,704.09
  5. Step 5: Solve for x
    x = 349,704.09/510.41
  6. Step 6: Final answer
    x = 685.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.