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Finding the Fourth Proportional to 504.35, 695.76 and 364.23

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Solution

The fourth proportional to 504.35, 695.76 and 364.23 is: 502.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.35 : 695.76 = 364.23 : x
  2. Step 2: Convert to fraction form
    504.35/695.76 = 364.23/x
  3. Step 3: Cross multiply
    504.35x = 695.76 × 364.23
  4. Step 4: Simplify right side
    504.35x = 253,416.66
  5. Step 5: Solve for x
    x = 253,416.66/504.35
  6. Step 6: Final answer
    x = 502.47

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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.