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Finding the Fourth Proportional to 505.35, 696.42 and 472.53

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Solution

The fourth proportional to 505.35, 696.42 and 472.53 is: 651.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.35 : 696.42 = 472.53 : x
  2. Step 2: Convert to fraction form
    505.35/696.42 = 472.53/x
  3. Step 3: Cross multiply
    505.35x = 696.42 × 472.53
  4. Step 4: Simplify right side
    505.35x = 329,079.34
  5. Step 5: Solve for x
    x = 329,079.34/505.35
  6. Step 6: Final answer
    x = 651.19

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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.