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Finding the Fourth Proportional to 504.05, 695.71 and 307.72

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Solution

The fourth proportional to 504.05, 695.71 and 307.72 is: 424.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.05 : 695.71 = 307.72 : x
  2. Step 2: Convert to fraction form
    504.05/695.71 = 307.72/x
  3. Step 3: Cross multiply
    504.05x = 695.71 × 307.72
  4. Step 4: Simplify right side
    504.05x = 214,085.14
  5. Step 5: Solve for x
    x = 214,085.14/504.05
  6. Step 6: Final answer
    x = 424.73

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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.