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Finding the Fourth Proportional to 352.83, 526.27 and 342.03

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Solution

The fourth proportional to 352.83, 526.27 and 342.03 is: 510.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.83 : 526.27 = 342.03 : x
  2. Step 2: Convert to fraction form
    352.83/526.27 = 342.03/x
  3. Step 3: Cross multiply
    352.83x = 526.27 × 342.03
  4. Step 4: Simplify right side
    352.83x = 179,999.27
  5. Step 5: Solve for x
    x = 179,999.27/352.83
  6. Step 6: Final answer
    x = 510.16

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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.