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Finding the Fourth Proportional to 705.68, 973.30 and 410.84

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Solution

The fourth proportional to 705.68, 973.30 and 410.84 is: 566.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.68 : 973.30 = 410.84 : x
  2. Step 2: Convert to fraction form
    705.68/973.30 = 410.84/x
  3. Step 3: Cross multiply
    705.68x = 973.30 × 410.84
  4. Step 4: Simplify right side
    705.68x = 399,870.57
  5. Step 5: Solve for x
    x = 399,870.57/705.68
  6. Step 6: Final answer
    x = 566.65

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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.