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Finding the Fourth Proportional to 962.93, 1,444.41 and 346.68

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Solution

The fourth proportional to 962.93, 1,444.41 and 346.68 is: 520.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.93 : 1,444.41 = 346.68 : x
  2. Step 2: Convert to fraction form
    962.93/1,444.41 = 346.68/x
  3. Step 3: Cross multiply
    962.93x = 1,444.41 × 346.68
  4. Step 4: Simplify right side
    962.93x = 500,748.06
  5. Step 5: Solve for x
    x = 500,748.06/962.93
  6. Step 6: Final answer
    x = 520.03

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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.