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Finding the Fourth Proportional to 504.12, 696.78 and 465.24

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Solution

The fourth proportional to 504.12, 696.78 and 465.24 is: 643.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.12 : 696.78 = 465.24 : x
  2. Step 2: Convert to fraction form
    504.12/696.78 = 465.24/x
  3. Step 3: Cross multiply
    504.12x = 696.78 × 465.24
  4. Step 4: Simplify right side
    504.12x = 324,169.93
  5. Step 5: Solve for x
    x = 324,169.93/504.12
  6. Step 6: Final answer
    x = 643.04

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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.