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Finding the Fourth Proportional to 705.28, 973.35 and 390.62

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Solution

The fourth proportional to 705.28, 973.35 and 390.62 is: 539.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.28 : 973.35 = 390.62 : x
  2. Step 2: Convert to fraction form
    705.28/973.35 = 390.62/x
  3. Step 3: Cross multiply
    705.28x = 973.35 × 390.62
  4. Step 4: Simplify right side
    705.28x = 380,203.16
  5. Step 5: Solve for x
    x = 380,203.16/705.28
  6. Step 6: Final answer
    x = 539.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.