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Finding the Fourth Proportional to 661.24, 991.86 and 319

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Solution

The fourth proportional to 661.24, 991.86 and 319 is: 478.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.24 : 991.86 = 319 : x
  2. Step 2: Convert to fraction form
    661.24/991.86 = 319/x
  3. Step 3: Cross multiply
    661.24x = 991.86 × 319
  4. Step 4: Simplify right side
    661.24x = 316,403.34
  5. Step 5: Solve for x
    x = 316,403.34/661.24
  6. Step 6: Final answer
    x = 478.50

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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.