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Finding the Fourth Proportional to 628.77, 867.42 and 407.76

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Solution

The fourth proportional to 628.77, 867.42 and 407.76 is: 562.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.77 : 867.42 = 407.76 : x
  2. Step 2: Convert to fraction form
    628.77/867.42 = 407.76/x
  3. Step 3: Cross multiply
    628.77x = 867.42 × 407.76
  4. Step 4: Simplify right side
    628.77x = 353,699.18
  5. Step 5: Solve for x
    x = 353,699.18/628.77
  6. Step 6: Final answer
    x = 562.53

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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.