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Finding the Fourth Proportional to 510.77, 764.78 and 266.81

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Solution

The fourth proportional to 510.77, 764.78 and 266.81 is: 399.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.77 : 764.78 = 266.81 : x
  2. Step 2: Convert to fraction form
    510.77/764.78 = 266.81/x
  3. Step 3: Cross multiply
    510.77x = 764.78 × 266.81
  4. Step 4: Simplify right side
    510.77x = 204,045.79
  5. Step 5: Solve for x
    x = 204,045.79/510.77
  6. Step 6: Final answer
    x = 399.49

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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.