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Finding the Fourth Proportional to 705.22, 973.14 and 410.50

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Solution

The fourth proportional to 705.22, 973.14 and 410.50 is: 566.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.22 : 973.14 = 410.50 : x
  2. Step 2: Convert to fraction form
    705.22/973.14 = 410.50/x
  3. Step 3: Cross multiply
    705.22x = 973.14 × 410.50
  4. Step 4: Simplify right side
    705.22x = 399,473.97
  5. Step 5: Solve for x
    x = 399,473.97/705.22
  6. Step 6: Final answer
    x = 566.45

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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.