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Finding the Fourth Proportional to 526.62, 726.62 and 305.59

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Solution

The fourth proportional to 526.62, 726.62 and 305.59 is: 421.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.62 : 726.62 = 305.59 : x
  2. Step 2: Convert to fraction form
    526.62/726.62 = 305.59/x
  3. Step 3: Cross multiply
    526.62x = 726.62 × 305.59
  4. Step 4: Simplify right side
    526.62x = 222,047.81
  5. Step 5: Solve for x
    x = 222,047.81/526.62
  6. Step 6: Final answer
    x = 421.65

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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.