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Finding the Fourth Proportional to 564.65, 846.36 and 369.03

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Solution

The fourth proportional to 564.65, 846.36 and 369.03 is: 553.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.65 : 846.36 = 369.03 : x
  2. Step 2: Convert to fraction form
    564.65/846.36 = 369.03/x
  3. Step 3: Cross multiply
    564.65x = 846.36 × 369.03
  4. Step 4: Simplify right side
    564.65x = 312,332.23
  5. Step 5: Solve for x
    x = 312,332.23/564.65
  6. Step 6: Final answer
    x = 553.15

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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.