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Finding the Fourth Proportional to 673.94, 1,009.28 and 384.50

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Solution

The fourth proportional to 673.94, 1,009.28 and 384.50 is: 575.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.94 : 1,009.28 = 384.50 : x
  2. Step 2: Convert to fraction form
    673.94/1,009.28 = 384.50/x
  3. Step 3: Cross multiply
    673.94x = 1,009.28 × 384.50
  4. Step 4: Simplify right side
    673.94x = 388,068.16
  5. Step 5: Solve for x
    x = 388,068.16/673.94
  6. Step 6: Final answer
    x = 575.82

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Why These Related Problems?

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