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Finding the Fourth Proportional to 962.49, 1,443.93 and 313.14

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Solution

The fourth proportional to 962.49, 1,443.93 and 313.14 is: 469.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.49 : 1,443.93 = 313.14 : x
  2. Step 2: Convert to fraction form
    962.49/1,443.93 = 313.14/x
  3. Step 3: Cross multiply
    962.49x = 1,443.93 × 313.14
  4. Step 4: Simplify right side
    962.49x = 452,152.24
  5. Step 5: Solve for x
    x = 452,152.24/962.49
  6. Step 6: Final answer
    x = 469.77

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Why These Related Problems?

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