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Finding the Fourth Proportional to 903.70, 1,354.64 and 355.67

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Solution

The fourth proportional to 903.70, 1,354.64 and 355.67 is: 533.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.70 : 1,354.64 = 355.67 : x
  2. Step 2: Convert to fraction form
    903.70/1,354.64 = 355.67/x
  3. Step 3: Cross multiply
    903.70x = 1,354.64 × 355.67
  4. Step 4: Simplify right side
    903.70x = 481,801.34
  5. Step 5: Solve for x
    x = 481,801.34/903.70
  6. Step 6: Final answer
    x = 533.14

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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.