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Finding the Fourth Proportional to 705.15, 973.35 and 484.83

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Solution

The fourth proportional to 705.15, 973.35 and 484.83 is: 669.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.15 : 973.35 = 484.83 : x
  2. Step 2: Convert to fraction form
    705.15/973.35 = 484.83/x
  3. Step 3: Cross multiply
    705.15x = 973.35 × 484.83
  4. Step 4: Simplify right side
    705.15x = 471,909.28
  5. Step 5: Solve for x
    x = 471,909.28/705.15
  6. Step 6: Final answer
    x = 669.23

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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.