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Finding the Fourth Proportional to 705.48, 973.56 and 410.77

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Solution

The fourth proportional to 705.48, 973.56 and 410.77 is: 566.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.48 : 973.56 = 410.77 : x
  2. Step 2: Convert to fraction form
    705.48/973.56 = 410.77/x
  3. Step 3: Cross multiply
    705.48x = 973.56 × 410.77
  4. Step 4: Simplify right side
    705.48x = 399,909.24
  5. Step 5: Solve for x
    x = 399,909.24/705.48
  6. Step 6: Final answer
    x = 566.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.