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Finding the Fourth Proportional to 929.08, 1,392.54 and 415

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Solution

The fourth proportional to 929.08, 1,392.54 and 415 is: 622.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.08 : 1,392.54 = 415 : x
  2. Step 2: Convert to fraction form
    929.08/1,392.54 = 415/x
  3. Step 3: Cross multiply
    929.08x = 1,392.54 × 415
  4. Step 4: Simplify right side
    929.08x = 577,904.10
  5. Step 5: Solve for x
    x = 577,904.10/929.08
  6. Step 6: Final answer
    x = 622.02

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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.