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Finding the Fourth Proportional to 705.60, 973.58 and 410.83

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Solution

The fourth proportional to 705.60, 973.58 and 410.83 is: 566.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.60 : 973.58 = 410.83 : x
  2. Step 2: Convert to fraction form
    705.60/973.58 = 410.83/x
  3. Step 3: Cross multiply
    705.60x = 973.58 × 410.83
  4. Step 4: Simplify right side
    705.60x = 399,971.38
  5. Step 5: Solve for x
    x = 399,971.38/705.60
  6. Step 6: Final answer
    x = 566.85

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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.