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Finding the Fourth Proportional to 504.48, 695.91 and 356.85

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Solution

The fourth proportional to 504.48, 695.91 and 356.85 is: 492.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.48 : 695.91 = 356.85 : x
  2. Step 2: Convert to fraction form
    504.48/695.91 = 356.85/x
  3. Step 3: Cross multiply
    504.48x = 695.91 × 356.85
  4. Step 4: Simplify right side
    504.48x = 248,335.48
  5. Step 5: Solve for x
    x = 248,335.48/504.48
  6. Step 6: Final answer
    x = 492.26

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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.