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Finding the Fourth Proportional to 703.04, 970.08 and 427.04

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Solution

The fourth proportional to 703.04, 970.08 and 427.04 is: 589.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.04 : 970.08 = 427.04 : x
  2. Step 2: Convert to fraction form
    703.04/970.08 = 427.04/x
  3. Step 3: Cross multiply
    703.04x = 970.08 × 427.04
  4. Step 4: Simplify right side
    703.04x = 414,262.96
  5. Step 5: Solve for x
    x = 414,262.96/703.04
  6. Step 6: Final answer
    x = 589.25

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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.