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Finding the Fourth Proportional to 673.05, 928.71 and 407.55

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Solution

The fourth proportional to 673.05, 928.71 and 407.55 is: 562.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.05 : 928.71 = 407.55 : x
  2. Step 2: Convert to fraction form
    673.05/928.71 = 407.55/x
  3. Step 3: Cross multiply
    673.05x = 928.71 × 407.55
  4. Step 4: Simplify right side
    673.05x = 378,495.76
  5. Step 5: Solve for x
    x = 378,495.76/673.05
  6. Step 6: Final answer
    x = 562.36

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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.