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Finding the Fourth Proportional to 641.22, 885.06 and 510.82

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Solution

The fourth proportional to 641.22, 885.06 and 510.82 is: 705.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.22 : 885.06 = 510.82 : x
  2. Step 2: Convert to fraction form
    641.22/885.06 = 510.82/x
  3. Step 3: Cross multiply
    641.22x = 885.06 × 510.82
  4. Step 4: Simplify right side
    641.22x = 452,106.35
  5. Step 5: Solve for x
    x = 452,106.35/641.22
  6. Step 6: Final answer
    x = 705.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.