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Finding the Fourth Proportional to 390.10, 583.43 and 347.07

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Solution

The fourth proportional to 390.10, 583.43 and 347.07 is: 519.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.10 : 583.43 = 347.07 : x
  2. Step 2: Convert to fraction form
    390.10/583.43 = 347.07/x
  3. Step 3: Cross multiply
    390.10x = 583.43 × 347.07
  4. Step 4: Simplify right side
    390.10x = 202,493.01
  5. Step 5: Solve for x
    x = 202,493.01/390.10
  6. Step 6: Final answer
    x = 519.08

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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.