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Finding the Fourth Proportional to 390.09, 585.17 and 101.53

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Solution

The fourth proportional to 390.09, 585.17 and 101.53 is: 152.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.09 : 585.17 = 101.53 : x
  2. Step 2: Convert to fraction form
    390.09/585.17 = 101.53/x
  3. Step 3: Cross multiply
    390.09x = 585.17 × 101.53
  4. Step 4: Simplify right side
    390.09x = 59,413.49
  5. Step 5: Solve for x
    x = 59,413.49/390.09
  6. Step 6: Final answer
    x = 152.31

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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.