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Finding the Fourth Proportional to 705.23, 973.19 and 386.18

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Solution

The fourth proportional to 705.23, 973.19 and 386.18 is: 532.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.23 : 973.19 = 386.18 : x
  2. Step 2: Convert to fraction form
    705.23/973.19 = 386.18/x
  3. Step 3: Cross multiply
    705.23x = 973.19 × 386.18
  4. Step 4: Simplify right side
    705.23x = 375,826.51
  5. Step 5: Solve for x
    x = 375,826.51/705.23
  6. Step 6: Final answer
    x = 532.92

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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.