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Finding the Fourth Proportional to 586.06, 808.44 and 504.25

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Solution

The fourth proportional to 586.06, 808.44 and 504.25 is: 695.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.06 : 808.44 = 504.25 : x
  2. Step 2: Convert to fraction form
    586.06/808.44 = 504.25/x
  3. Step 3: Cross multiply
    586.06x = 808.44 × 504.25
  4. Step 4: Simplify right side
    586.06x = 407,655.87
  5. Step 5: Solve for x
    x = 407,655.87/586.06
  6. Step 6: Final answer
    x = 695.59

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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.