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Finding the Fourth Proportional to 705.34, 973.31 and 410.50

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Solution

The fourth proportional to 705.34, 973.31 and 410.50 is: 566.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.34 : 973.31 = 410.50 : x
  2. Step 2: Convert to fraction form
    705.34/973.31 = 410.50/x
  3. Step 3: Cross multiply
    705.34x = 973.31 × 410.50
  4. Step 4: Simplify right side
    705.34x = 399,543.76
  5. Step 5: Solve for x
    x = 399,543.76/705.34
  6. Step 6: Final answer
    x = 566.46

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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.