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Finding the Fourth Proportional to 504.30, 694.98 and 364.14

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Solution

The fourth proportional to 504.30, 694.98 and 364.14 is: 501.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.30 : 694.98 = 364.14 : x
  2. Step 2: Convert to fraction form
    504.30/694.98 = 364.14/x
  3. Step 3: Cross multiply
    504.30x = 694.98 × 364.14
  4. Step 4: Simplify right side
    504.30x = 253,070.02
  5. Step 5: Solve for x
    x = 253,070.02/504.30
  6. Step 6: Final answer
    x = 501.82

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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.