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Finding the Fourth Proportional to 601.14, 900.75 and 395.55

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Solution

The fourth proportional to 601.14, 900.75 and 395.55 is: 592.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.14 : 900.75 = 395.55 : x
  2. Step 2: Convert to fraction form
    601.14/900.75 = 395.55/x
  3. Step 3: Cross multiply
    601.14x = 900.75 × 395.55
  4. Step 4: Simplify right side
    601.14x = 356,291.66
  5. Step 5: Solve for x
    x = 356,291.66/601.14
  6. Step 6: Final answer
    x = 592.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.