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Finding the Fourth Proportional to 501.60, 691.44 and 346.08

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Solution

The fourth proportional to 501.60, 691.44 and 346.08 is: 477.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.60 : 691.44 = 346.08 : x
  2. Step 2: Convert to fraction form
    501.60/691.44 = 346.08/x
  3. Step 3: Cross multiply
    501.60x = 691.44 × 346.08
  4. Step 4: Simplify right side
    501.60x = 239,293.56
  5. Step 5: Solve for x
    x = 239,293.56/501.60
  6. Step 6: Final answer
    x = 477.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.