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Finding the Fourth Proportional to 705.57, 973.65 and 410.82

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Solution

The fourth proportional to 705.57, 973.65 and 410.82 is: 566.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.57 : 973.65 = 410.82 : x
  2. Step 2: Convert to fraction form
    705.57/973.65 = 410.82/x
  3. Step 3: Cross multiply
    705.57x = 973.65 × 410.82
  4. Step 4: Simplify right side
    705.57x = 399,994.89
  5. Step 5: Solve for x
    x = 399,994.89/705.57
  6. Step 6: Final answer
    x = 566.91

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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.