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Finding the Fourth Proportional to 922.34, 1,383.80 and 402.10

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Solution

The fourth proportional to 922.34, 1,383.80 and 402.10 is: 603.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.34 : 1,383.80 = 402.10 : x
  2. Step 2: Convert to fraction form
    922.34/1,383.80 = 402.10/x
  3. Step 3: Cross multiply
    922.34x = 1,383.80 × 402.10
  4. Step 4: Simplify right side
    922.34x = 556,420.51
  5. Step 5: Solve for x
    x = 556,420.51/922.34
  6. Step 6: Final answer
    x = 603.27

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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.