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Finding the Fourth Proportional to 602.54, 830.27 and 462.65

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Solution

The fourth proportional to 602.54, 830.27 and 462.65 is: 637.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.54 : 830.27 = 462.65 : x
  2. Step 2: Convert to fraction form
    602.54/830.27 = 462.65/x
  3. Step 3: Cross multiply
    602.54x = 830.27 × 462.65
  4. Step 4: Simplify right side
    602.54x = 384,117.95
  5. Step 5: Solve for x
    x = 384,117.95/602.54
  6. Step 6: Final answer
    x = 637.50

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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.