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Finding the Fourth Proportional to 468.88, 646.65 and 370.46

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Solution

The fourth proportional to 468.88, 646.65 and 370.46 is: 510.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.88 : 646.65 = 370.46 : x
  2. Step 2: Convert to fraction form
    468.88/646.65 = 370.46/x
  3. Step 3: Cross multiply
    468.88x = 646.65 × 370.46
  4. Step 4: Simplify right side
    468.88x = 239,559.58
  5. Step 5: Solve for x
    x = 239,559.58/468.88
  6. Step 6: Final answer
    x = 510.92

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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.