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Finding the Fourth Proportional to 970.32, 1,455.64 and 354.08

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Solution

The fourth proportional to 970.32, 1,455.64 and 354.08 is: 531.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.32 : 1,455.64 = 354.08 : x
  2. Step 2: Convert to fraction form
    970.32/1,455.64 = 354.08/x
  3. Step 3: Cross multiply
    970.32x = 1,455.64 × 354.08
  4. Step 4: Simplify right side
    970.32x = 515,413.01
  5. Step 5: Solve for x
    x = 515,413.01/970.32
  6. Step 6: Final answer
    x = 531.18

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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.