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Finding the Fourth Proportional to 705.71, 973.91 and 390.98

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Solution

The fourth proportional to 705.71, 973.91 and 390.98 is: 539.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.71 : 973.91 = 390.98 : x
  2. Step 2: Convert to fraction form
    705.71/973.91 = 390.98/x
  3. Step 3: Cross multiply
    705.71x = 973.91 × 390.98
  4. Step 4: Simplify right side
    705.71x = 380,779.33
  5. Step 5: Solve for x
    x = 380,779.33/705.71
  6. Step 6: Final answer
    x = 539.57

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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.