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Finding the Fourth Proportional to 504, 695.68 and 366.40

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Solution

The fourth proportional to 504, 695.68 and 366.40 is: 505.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    504 : 695.68 = 366.40 : x
  2. Step 2: Convert to fraction form
    504/695.68 = 366.40/x
  3. Step 3: Cross multiply
    504x = 695.68 × 366.40
  4. Step 4: Simplify right side
    504x = 254,897.15
  5. Step 5: Solve for x
    x = 254,897.15/504
  6. Step 6: Final answer
    x = 505.75

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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.