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Finding the Fourth Proportional to 504.25, 695.87 and 307.72

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Solution

The fourth proportional to 504.25, 695.87 and 307.72 is: 424.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.25 : 695.87 = 307.72 : x
  2. Step 2: Convert to fraction form
    504.25/695.87 = 307.72/x
  3. Step 3: Cross multiply
    504.25x = 695.87 × 307.72
  4. Step 4: Simplify right side
    504.25x = 214,133.12
  5. Step 5: Solve for x
    x = 214,133.12/504.25
  6. Step 6: Final answer
    x = 424.66

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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.