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Finding the Fourth Proportional to 705.40, 973.59 and 410.71

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Solution

The fourth proportional to 705.40, 973.59 and 410.71 is: 566.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.40 : 973.59 = 410.71 : x
  2. Step 2: Convert to fraction form
    705.40/973.59 = 410.71/x
  3. Step 3: Cross multiply
    705.40x = 973.59 × 410.71
  4. Step 4: Simplify right side
    705.40x = 399,861.10
  5. Step 5: Solve for x
    x = 399,861.10/705.40
  6. Step 6: Final answer
    x = 566.86

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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.