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Finding the Fourth Proportional to 673.58, 1,009.76 and 365.07

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Solution

The fourth proportional to 673.58, 1,009.76 and 365.07 is: 547.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.58 : 1,009.76 = 365.07 : x
  2. Step 2: Convert to fraction form
    673.58/1,009.76 = 365.07/x
  3. Step 3: Cross multiply
    673.58x = 1,009.76 × 365.07
  4. Step 4: Simplify right side
    673.58x = 368,632.58
  5. Step 5: Solve for x
    x = 368,632.58/673.58
  6. Step 6: Final answer
    x = 547.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.