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Finding the Fourth Proportional to 504, 695.64 and 304.92

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Solution

The fourth proportional to 504, 695.64 and 304.92 is: 420.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    504 : 695.64 = 304.92 : x
  2. Step 2: Convert to fraction form
    504/695.64 = 304.92/x
  3. Step 3: Cross multiply
    504x = 695.64 × 304.92
  4. Step 4: Simplify right side
    504x = 212,114.55
  5. Step 5: Solve for x
    x = 212,114.55/504
  6. Step 6: Final answer
    x = 420.86

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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.