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Finding the Fourth Proportional to 964.55, 1,446.71 and 379.98

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Solution

The fourth proportional to 964.55, 1,446.71 and 379.98 is: 569.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.55 : 1,446.71 = 379.98 : x
  2. Step 2: Convert to fraction form
    964.55/1,446.71 = 379.98/x
  3. Step 3: Cross multiply
    964.55x = 1,446.71 × 379.98
  4. Step 4: Simplify right side
    964.55x = 549,725.17
  5. Step 5: Solve for x
    x = 549,725.17/964.55
  6. Step 6: Final answer
    x = 569.93

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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.