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Finding the Fourth Proportional to 526.61, 726.53 and 305.61

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Solution

The fourth proportional to 526.61, 726.53 and 305.61 is: 421.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.61 : 726.53 = 305.61 : x
  2. Step 2: Convert to fraction form
    526.61/726.53 = 305.61/x
  3. Step 3: Cross multiply
    526.61x = 726.53 × 305.61
  4. Step 4: Simplify right side
    526.61x = 222,033.31
  5. Step 5: Solve for x
    x = 222,033.31/526.61
  6. Step 6: Final answer
    x = 421.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.