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Finding the Fourth Proportional to 504, 695.44 and 307.52

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Solution

The fourth proportional to 504, 695.44 and 307.52 is: 424.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    504 : 695.44 = 307.52 : x
  2. Step 2: Convert to fraction form
    504/695.44 = 307.52/x
  3. Step 3: Cross multiply
    504x = 695.44 × 307.52
  4. Step 4: Simplify right side
    504x = 213,861.71
  5. Step 5: Solve for x
    x = 213,861.71/504
  6. Step 6: Final answer
    x = 424.33

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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.