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Finding the Fourth Proportional to 705.24, 973.40 and 410.46

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Solution

The fourth proportional to 705.24, 973.40 and 410.46 is: 566.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.24 : 973.40 = 410.46 : x
  2. Step 2: Convert to fraction form
    705.24/973.40 = 410.46/x
  3. Step 3: Cross multiply
    705.24x = 973.40 × 410.46
  4. Step 4: Simplify right side
    705.24x = 399,539.71
  5. Step 5: Solve for x
    x = 399,539.71/705.24
  6. Step 6: Final answer
    x = 566.53

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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.