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Finding the Fourth Proportional to 501.17, 690.98 and 369.95

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Solution

The fourth proportional to 501.17, 690.98 and 369.95 is: 510.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.17 : 690.98 = 369.95 : x
  2. Step 2: Convert to fraction form
    501.17/690.98 = 369.95/x
  3. Step 3: Cross multiply
    501.17x = 690.98 × 369.95
  4. Step 4: Simplify right side
    501.17x = 255,622.75
  5. Step 5: Solve for x
    x = 255,622.75/501.17
  6. Step 6: Final answer
    x = 510.06

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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.