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Finding the Fourth Proportional to 705.47, 973.08 and 440.03

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Solution

The fourth proportional to 705.47, 973.08 and 440.03 is: 606.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.47 : 973.08 = 440.03 : x
  2. Step 2: Convert to fraction form
    705.47/973.08 = 440.03/x
  3. Step 3: Cross multiply
    705.47x = 973.08 × 440.03
  4. Step 4: Simplify right side
    705.47x = 428,184.39
  5. Step 5: Solve for x
    x = 428,184.39/705.47
  6. Step 6: Final answer
    x = 606.95

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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.