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Finding the Fourth Proportional to 705.42, 973.50 and 410.70

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Solution

The fourth proportional to 705.42, 973.50 and 410.70 is: 566.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.42 : 973.50 = 410.70 : x
  2. Step 2: Convert to fraction form
    705.42/973.50 = 410.70/x
  3. Step 3: Cross multiply
    705.42x = 973.50 × 410.70
  4. Step 4: Simplify right side
    705.42x = 399,816.45
  5. Step 5: Solve for x
    x = 399,816.45/705.42
  6. Step 6: Final answer
    x = 566.78

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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.