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Finding the Fourth Proportional to 504.59, 696.65 and 365.15

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Solution

The fourth proportional to 504.59, 696.65 and 365.15 is: 504.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.59 : 696.65 = 365.15 : x
  2. Step 2: Convert to fraction form
    504.59/696.65 = 365.15/x
  3. Step 3: Cross multiply
    504.59x = 696.65 × 365.15
  4. Step 4: Simplify right side
    504.59x = 254,381.66
  5. Step 5: Solve for x
    x = 254,381.66/504.59
  6. Step 6: Final answer
    x = 504.14

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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.