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Finding the Fourth Proportional to 505.53, 695.67 and 467.87

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Solution

The fourth proportional to 505.53, 695.67 and 467.87 is: 643.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.53 : 695.67 = 467.87 : x
  2. Step 2: Convert to fraction form
    505.53/695.67 = 467.87/x
  3. Step 3: Cross multiply
    505.53x = 695.67 × 467.87
  4. Step 4: Simplify right side
    505.53x = 325,479.64
  5. Step 5: Solve for x
    x = 325,479.64/505.53
  6. Step 6: Final answer
    x = 643.84

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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.