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Finding the Fourth Proportional to 601.84, 901.18 and 472.12

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Solution

The fourth proportional to 601.84, 901.18 and 472.12 is: 706.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.84 : 901.18 = 472.12 : x
  2. Step 2: Convert to fraction form
    601.84/901.18 = 472.12/x
  3. Step 3: Cross multiply
    601.84x = 901.18 × 472.12
  4. Step 4: Simplify right side
    601.84x = 425,465.10
  5. Step 5: Solve for x
    x = 425,465.10/601.84
  6. Step 6: Final answer
    x = 706.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.