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Finding the Fourth Proportional to 705.49, 973.63 and 390.78

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Solution

The fourth proportional to 705.49, 973.63 and 390.78 is: 539.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.49 : 973.63 = 390.78 : x
  2. Step 2: Convert to fraction form
    705.49/973.63 = 390.78/x
  3. Step 3: Cross multiply
    705.49x = 973.63 × 390.78
  4. Step 4: Simplify right side
    705.49x = 380,475.13
  5. Step 5: Solve for x
    x = 380,475.13/705.49
  6. Step 6: Final answer
    x = 539.31

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Why These Related Problems?

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