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Finding the Fourth Proportional to 504.06, 695.61 and 307.54

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Solution

The fourth proportional to 504.06, 695.61 and 307.54 is: 424.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.06 : 695.61 = 307.54 : x
  2. Step 2: Convert to fraction form
    504.06/695.61 = 307.54/x
  3. Step 3: Cross multiply
    504.06x = 695.61 × 307.54
  4. Step 4: Simplify right side
    504.06x = 213,927.90
  5. Step 5: Solve for x
    x = 213,927.90/504.06
  6. Step 6: Final answer
    x = 424.41

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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.