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Finding the Fourth Proportional to 628.55, 867.59 and 407.50

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Solution

The fourth proportional to 628.55, 867.59 and 407.50 is: 562.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.55 : 867.59 = 407.50 : x
  2. Step 2: Convert to fraction form
    628.55/867.59 = 407.50/x
  3. Step 3: Cross multiply
    628.55x = 867.59 × 407.50
  4. Step 4: Simplify right side
    628.55x = 353,542.93
  5. Step 5: Solve for x
    x = 353,542.93/628.55
  6. Step 6: Final answer
    x = 562.47

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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.