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Finding the Fourth Proportional to 385.04, 531.24 and 348.08

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Solution

The fourth proportional to 385.04, 531.24 and 348.08 is: 480.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.04 : 531.24 = 348.08 : x
  2. Step 2: Convert to fraction form
    385.04/531.24 = 348.08/x
  3. Step 3: Cross multiply
    385.04x = 531.24 × 348.08
  4. Step 4: Simplify right side
    385.04x = 184,914.02
  5. Step 5: Solve for x
    x = 184,914.02/385.04
  6. Step 6: Final answer
    x = 480.25

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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.