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Finding the Fourth Proportional to 503.04, 693.72 and 465.78

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Solution

The fourth proportional to 503.04, 693.72 and 465.78 is: 642.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.04 : 693.72 = 465.78 : x
  2. Step 2: Convert to fraction form
    503.04/693.72 = 465.78/x
  3. Step 3: Cross multiply
    503.04x = 693.72 × 465.78
  4. Step 4: Simplify right side
    503.04x = 323,120.90
  5. Step 5: Solve for x
    x = 323,120.90/503.04
  6. Step 6: Final answer
    x = 642.34

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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.