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Finding the Fourth Proportional to 661.16, 912.42 and 362.40

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Solution

The fourth proportional to 661.16, 912.42 and 362.40 is: 500.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.16 : 912.42 = 362.40 : x
  2. Step 2: Convert to fraction form
    661.16/912.42 = 362.40/x
  3. Step 3: Cross multiply
    661.16x = 912.42 × 362.40
  4. Step 4: Simplify right side
    661.16x = 330,661.01
  5. Step 5: Solve for x
    x = 330,661.01/661.16
  6. Step 6: Final answer
    x = 500.12

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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.