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Finding the Fourth Proportional to 352.07, 525.88 and 342.35

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Solution

The fourth proportional to 352.07, 525.88 and 342.35 is: 511.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.07 : 525.88 = 342.35 : x
  2. Step 2: Convert to fraction form
    352.07/525.88 = 342.35/x
  3. Step 3: Cross multiply
    352.07x = 525.88 × 342.35
  4. Step 4: Simplify right side
    352.07x = 180,035.02
  5. Step 5: Solve for x
    x = 180,035.02/352.07
  6. Step 6: Final answer
    x = 511.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.