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Finding the Fourth Proportional to 504.78, 695.33 and 480.18

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Solution

The fourth proportional to 504.78, 695.33 and 480.18 is: 661.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.78 : 695.33 = 480.18 : x
  2. Step 2: Convert to fraction form
    504.78/695.33 = 480.18/x
  3. Step 3: Cross multiply
    504.78x = 695.33 × 480.18
  4. Step 4: Simplify right side
    504.78x = 333,884.36
  5. Step 5: Solve for x
    x = 333,884.36/504.78
  6. Step 6: Final answer
    x = 661.44

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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.