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Finding the Fourth Proportional to 925.37, 1,386.88 and 405.24

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Solution

The fourth proportional to 925.37, 1,386.88 and 405.24 is: 607.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.37 : 1,386.88 = 405.24 : x
  2. Step 2: Convert to fraction form
    925.37/1,386.88 = 405.24/x
  3. Step 3: Cross multiply
    925.37x = 1,386.88 × 405.24
  4. Step 4: Simplify right side
    925.37x = 562,013.04
  5. Step 5: Solve for x
    x = 562,013.04/925.37
  6. Step 6: Final answer
    x = 607.34

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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.