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Finding the Fourth Proportional to 504.54, 695.90 and 438.02

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Solution

The fourth proportional to 504.54, 695.90 and 438.02 is: 604.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.54 : 695.90 = 438.02 : x
  2. Step 2: Convert to fraction form
    504.54/695.90 = 438.02/x
  3. Step 3: Cross multiply
    504.54x = 695.90 × 438.02
  4. Step 4: Simplify right side
    504.54x = 304,813.54
  5. Step 5: Solve for x
    x = 304,813.54/504.54
  6. Step 6: Final answer
    x = 604.15

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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.