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Finding the Fourth Proportional to 504.66, 695.88 and 465.78

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Solution

The fourth proportional to 504.66, 695.88 and 465.78 is: 642.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.66 : 695.88 = 465.78 : x
  2. Step 2: Convert to fraction form
    504.66/695.88 = 465.78/x
  3. Step 3: Cross multiply
    504.66x = 695.88 × 465.78
  4. Step 4: Simplify right side
    504.66x = 324,126.99
  5. Step 5: Solve for x
    x = 324,126.99/504.66
  6. Step 6: Final answer
    x = 642.27

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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.