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Finding the Fourth Proportional to 616.14, 923.58 and 327.60

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Solution

The fourth proportional to 616.14, 923.58 and 327.60 is: 491.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.14 : 923.58 = 327.60 : x
  2. Step 2: Convert to fraction form
    616.14/923.58 = 327.60/x
  3. Step 3: Cross multiply
    616.14x = 923.58 × 327.60
  4. Step 4: Simplify right side
    616.14x = 302,564.81
  5. Step 5: Solve for x
    x = 302,564.81/616.14
  6. Step 6: Final answer
    x = 491.07

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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.