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Finding the Fourth Proportional to 628.63, 866.95 and 407.65

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Solution

The fourth proportional to 628.63, 866.95 and 407.65 is: 562.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.63 : 866.95 = 407.65 : x
  2. Step 2: Convert to fraction form
    628.63/866.95 = 407.65/x
  3. Step 3: Cross multiply
    628.63x = 866.95 × 407.65
  4. Step 4: Simplify right side
    628.63x = 353,412.90
  5. Step 5: Solve for x
    x = 353,412.90/628.63
  6. Step 6: Final answer
    x = 562.20

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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.