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Finding the Fourth Proportional to 703.45, 970.30 and 434.17

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Solution

The fourth proportional to 703.45, 970.30 and 434.17 is: 598.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.45 : 970.30 = 434.17 : x
  2. Step 2: Convert to fraction form
    703.45/970.30 = 434.17/x
  3. Step 3: Cross multiply
    703.45x = 970.30 × 434.17
  4. Step 4: Simplify right side
    703.45x = 421,268.13
  5. Step 5: Solve for x
    x = 421,268.13/703.45
  6. Step 6: Final answer
    x = 598.86

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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.