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Finding the Fourth Proportional to 504.19, 695.90 and 307.86

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Solution

The fourth proportional to 504.19, 695.90 and 307.86 is: 424.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.19 : 695.90 = 307.86 : x
  2. Step 2: Convert to fraction form
    504.19/695.90 = 307.86/x
  3. Step 3: Cross multiply
    504.19x = 695.90 × 307.86
  4. Step 4: Simplify right side
    504.19x = 214,241.85
  5. Step 5: Solve for x
    x = 214,241.85/504.19
  6. Step 6: Final answer
    x = 424.93

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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.