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Finding the Fourth Proportional to 661.84, 913.28 and 382.08

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Solution

The fourth proportional to 661.84, 913.28 and 382.08 is: 527.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.84 : 913.28 = 382.08 : x
  2. Step 2: Convert to fraction form
    661.84/913.28 = 382.08/x
  3. Step 3: Cross multiply
    661.84x = 913.28 × 382.08
  4. Step 4: Simplify right side
    661.84x = 348,946.02
  5. Step 5: Solve for x
    x = 348,946.02/661.84
  6. Step 6: Final answer
    x = 527.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.