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Finding the Fourth Proportional to 651.15, 975.38 and 390.33

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Solution

The fourth proportional to 651.15, 975.38 and 390.33 is: 584.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.15 : 975.38 = 390.33 : x
  2. Step 2: Convert to fraction form
    651.15/975.38 = 390.33/x
  3. Step 3: Cross multiply
    651.15x = 975.38 × 390.33
  4. Step 4: Simplify right side
    651.15x = 380,718.12
  5. Step 5: Solve for x
    x = 380,718.12/651.15
  6. Step 6: Final answer
    x = 584.69

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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.