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Finding the Fourth Proportional to 504.69, 695.73 and 434.44

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Solution

The fourth proportional to 504.69, 695.73 and 434.44 is: 598.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.69 : 695.73 = 434.44 : x
  2. Step 2: Convert to fraction form
    504.69/695.73 = 434.44/x
  3. Step 3: Cross multiply
    504.69x = 695.73 × 434.44
  4. Step 4: Simplify right side
    504.69x = 302,252.94
  5. Step 5: Solve for x
    x = 302,252.94/504.69
  6. Step 6: Final answer
    x = 598.89

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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.