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Finding the Fourth Proportional to 556.92, 766.78 and 457.52

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Solution

The fourth proportional to 556.92, 766.78 and 457.52 is: 629.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.92 : 766.78 = 457.52 : x
  2. Step 2: Convert to fraction form
    556.92/766.78 = 457.52/x
  3. Step 3: Cross multiply
    556.92x = 766.78 × 457.52
  4. Step 4: Simplify right side
    556.92x = 350,812.21
  5. Step 5: Solve for x
    x = 350,812.21/556.92
  6. Step 6: Final answer
    x = 629.91

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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.