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Finding the Fourth Proportional to 504, 695.52 and 297

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Solution

The fourth proportional to 504, 695.52 and 297 is: 409.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    504 : 695.52 = 297 : x
  2. Step 2: Convert to fraction form
    504/695.52 = 297/x
  3. Step 3: Cross multiply
    504x = 695.52 × 297
  4. Step 4: Simplify right side
    504x = 206,569.44
  5. Step 5: Solve for x
    x = 206,569.44/504
  6. Step 6: Final answer
    x = 409.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.