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Finding the Fourth Proportional to 504.41, 695.69 and 405.99

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Solution

The fourth proportional to 504.41, 695.69 and 405.99 is: 559.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.41 : 695.69 = 405.99 : x
  2. Step 2: Convert to fraction form
    504.41/695.69 = 405.99/x
  3. Step 3: Cross multiply
    504.41x = 695.69 × 405.99
  4. Step 4: Simplify right side
    504.41x = 282,441.15
  5. Step 5: Solve for x
    x = 282,441.15/504.41
  6. Step 6: Final answer
    x = 559.95

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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.