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Finding the Fourth Proportional to 504.08, 695.69 and 307.59

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Solution

The fourth proportional to 504.08, 695.69 and 307.59 is: 424.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.08 : 695.69 = 307.59 : x
  2. Step 2: Convert to fraction form
    504.08/695.69 = 307.59/x
  3. Step 3: Cross multiply
    504.08x = 695.69 × 307.59
  4. Step 4: Simplify right side
    504.08x = 213,987.29
  5. Step 5: Solve for x
    x = 213,987.29/504.08
  6. Step 6: Final answer
    x = 424.51

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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.