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Finding the Fourth Proportional to 903.84, 1,356.12 and 417

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Solution

The fourth proportional to 903.84, 1,356.12 and 417 is: 625.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.84 : 1,356.12 = 417 : x
  2. Step 2: Convert to fraction form
    903.84/1,356.12 = 417/x
  3. Step 3: Cross multiply
    903.84x = 1,356.12 × 417
  4. Step 4: Simplify right side
    903.84x = 565,502.04
  5. Step 5: Solve for x
    x = 565,502.04/903.84
  6. Step 6: Final answer
    x = 625.67

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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.