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Finding the Fourth Proportional to 703.81, 971.10 and 405.04

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Solution

The fourth proportional to 703.81, 971.10 and 405.04 is: 558.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.81 : 971.10 = 405.04 : x
  2. Step 2: Convert to fraction form
    703.81/971.10 = 405.04/x
  3. Step 3: Cross multiply
    703.81x = 971.10 × 405.04
  4. Step 4: Simplify right side
    703.81x = 393,332.93
  5. Step 5: Solve for x
    x = 393,332.93/703.81
  6. Step 6: Final answer
    x = 558.86

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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.