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Finding the Fourth Proportional to 962.34, 1,443.41 and 313.02

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Solution

The fourth proportional to 962.34, 1,443.41 and 313.02 is: 469.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.34 : 1,443.41 = 313.02 : x
  2. Step 2: Convert to fraction form
    962.34/1,443.41 = 313.02/x
  3. Step 3: Cross multiply
    962.34x = 1,443.41 × 313.02
  4. Step 4: Simplify right side
    962.34x = 451,814.63
  5. Step 5: Solve for x
    x = 451,814.63/962.34
  6. Step 6: Final answer
    x = 469.50

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1.5x scale

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.