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Finding the Fourth Proportional to 504.89, 695.91 and 405.02

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Solution

The fourth proportional to 504.89, 695.91 and 405.02 is: 558.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.89 : 695.91 = 405.02 : x
  2. Step 2: Convert to fraction form
    504.89/695.91 = 405.02/x
  3. Step 3: Cross multiply
    504.89x = 695.91 × 405.02
  4. Step 4: Simplify right side
    504.89x = 281,859.06
  5. Step 5: Solve for x
    x = 281,859.06/504.89
  6. Step 6: Final answer
    x = 558.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.