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Finding the Fourth Proportional to 628.27, 866.51 and 586.35

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Solution

The fourth proportional to 628.27, 866.51 and 586.35 is: 808.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.27 : 866.51 = 586.35 : x
  2. Step 2: Convert to fraction form
    628.27/866.51 = 586.35/x
  3. Step 3: Cross multiply
    628.27x = 866.51 × 586.35
  4. Step 4: Simplify right side
    628.27x = 508,075.21
  5. Step 5: Solve for x
    x = 508,075.21/628.27
  6. Step 6: Final answer
    x = 808.69

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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.