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Finding the Fourth Proportional to 508.42, 700.80 and 342.58

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Solution

The fourth proportional to 508.42, 700.80 and 342.58 is: 472.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.42 : 700.80 = 342.58 : x
  2. Step 2: Convert to fraction form
    508.42/700.80 = 342.58/x
  3. Step 3: Cross multiply
    508.42x = 700.80 × 342.58
  4. Step 4: Simplify right side
    508.42x = 240,080.06
  5. Step 5: Solve for x
    x = 240,080.06/508.42
  6. Step 6: Final answer
    x = 472.21

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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.