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Finding the Fourth Proportional to 507.58, 700.72 and 342.66

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Solution

The fourth proportional to 507.58, 700.72 and 342.66 is: 473.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.58 : 700.72 = 342.66 : x
  2. Step 2: Convert to fraction form
    507.58/700.72 = 342.66/x
  3. Step 3: Cross multiply
    507.58x = 700.72 × 342.66
  4. Step 4: Simplify right side
    507.58x = 240,108.72
  5. Step 5: Solve for x
    x = 240,108.72/507.58
  6. Step 6: Final answer
    x = 473.05

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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.