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Finding the Fourth Proportional to 526.77, 727.10 and 305.77

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Solution

The fourth proportional to 526.77, 727.10 and 305.77 is: 422.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.77 : 727.10 = 305.77 : x
  2. Step 2: Convert to fraction form
    526.77/727.10 = 305.77/x
  3. Step 3: Cross multiply
    526.77x = 727.10 × 305.77
  4. Step 4: Simplify right side
    526.77x = 222,323.84
  5. Step 5: Solve for x
    x = 222,323.84/526.77
  6. Step 6: Final answer
    x = 422.05

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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.