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Finding the Fourth Proportional to 556.38, 829.80 and 507.78

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Solution

The fourth proportional to 556.38, 829.80 and 507.78 is: 757.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.38 : 829.80 = 507.78 : x
  2. Step 2: Convert to fraction form
    556.38/829.80 = 507.78/x
  3. Step 3: Cross multiply
    556.38x = 829.80 × 507.78
  4. Step 4: Simplify right side
    556.38x = 421,355.84
  5. Step 5: Solve for x
    x = 421,355.84/556.38
  6. Step 6: Final answer
    x = 757.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.