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Finding the Fourth Proportional to 651.29, 975.48 and 468.13

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Solution

The fourth proportional to 651.29, 975.48 and 468.13 is: 701.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.29 : 975.48 = 468.13 : x
  2. Step 2: Convert to fraction form
    651.29/975.48 = 468.13/x
  3. Step 3: Cross multiply
    651.29x = 975.48 × 468.13
  4. Step 4: Simplify right side
    651.29x = 456,651.45
  5. Step 5: Solve for x
    x = 456,651.45/651.29
  6. Step 6: Final answer
    x = 701.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.