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Finding the Fourth Proportional to 500, 690 and 369.64

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Solution

The fourth proportional to 500, 690 and 369.64 is: 510.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    500 : 690 = 369.64 : x
  2. Step 2: Convert to fraction form
    500/690 = 369.64/x
  3. Step 3: Cross multiply
    500x = 690 × 369.64
  4. Step 4: Simplify right side
    500x = 255,051.60
  5. Step 5: Solve for x
    x = 255,051.60/500
  6. Step 6: Final answer
    x = 510.10

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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.