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Finding the Fourth Proportional to 601.38, 897.71 and 556.25

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Solution

The fourth proportional to 601.38, 897.71 and 556.25 is: 830.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.38 : 897.71 = 556.25 : x
  2. Step 2: Convert to fraction form
    601.38/897.71 = 556.25/x
  3. Step 3: Cross multiply
    601.38x = 897.71 × 556.25
  4. Step 4: Simplify right side
    601.38x = 499,343.92
  5. Step 5: Solve for x
    x = 499,343.92/601.38
  6. Step 6: Final answer
    x = 830.33

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