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Finding the Fourth Proportional to 705.23, 973.20 and 410.56

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Solution

The fourth proportional to 705.23, 973.20 and 410.56 is: 566.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.23 : 973.20 = 410.56 : x
  2. Step 2: Convert to fraction form
    705.23/973.20 = 410.56/x
  3. Step 3: Cross multiply
    705.23x = 973.20 × 410.56
  4. Step 4: Simplify right side
    705.23x = 399,552.13
  5. Step 5: Solve for x
    x = 399,552.13/705.23
  6. Step 6: Final answer
    x = 566.56

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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.