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Finding the Fourth Proportional to 703.17, 970.02 and 454.70

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Solution

The fourth proportional to 703.17, 970.02 and 454.70 is: 627.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.17 : 970.02 = 454.70 : x
  2. Step 2: Convert to fraction form
    703.17/970.02 = 454.70/x
  3. Step 3: Cross multiply
    703.17x = 970.02 × 454.70
  4. Step 4: Simplify right side
    703.17x = 441,068.09
  5. Step 5: Solve for x
    x = 441,068.09/703.17
  6. Step 6: Final answer
    x = 627.26

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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.