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Finding the Fourth Proportional to 501.15, 690.55 and 466.55

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Solution

The fourth proportional to 501.15, 690.55 and 466.55 is: 642.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.15 : 690.55 = 466.55 : x
  2. Step 2: Convert to fraction form
    501.15/690.55 = 466.55/x
  3. Step 3: Cross multiply
    501.15x = 690.55 × 466.55
  4. Step 4: Simplify right side
    501.15x = 322,176.10
  5. Step 5: Solve for x
    x = 322,176.10/501.15
  6. Step 6: Final answer
    x = 642.87

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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.