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Finding the Fourth Proportional to 504.35, 695.96 and 307.82

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Solution

The fourth proportional to 504.35, 695.96 and 307.82 is: 424.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.35 : 695.96 = 307.82 : x
  2. Step 2: Convert to fraction form
    504.35/695.96 = 307.82/x
  3. Step 3: Cross multiply
    504.35x = 695.96 × 307.82
  4. Step 4: Simplify right side
    504.35x = 214,231.76
  5. Step 5: Solve for x
    x = 214,231.76/504.35
  6. Step 6: Final answer
    x = 424.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.