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Finding the Fourth Proportional to 507.64, 700.14 and 342.04

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Solution

The fourth proportional to 507.64, 700.14 and 342.04 is: 471.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.64 : 700.14 = 342.04 : x
  2. Step 2: Convert to fraction form
    507.64/700.14 = 342.04/x
  3. Step 3: Cross multiply
    507.64x = 700.14 × 342.04
  4. Step 4: Simplify right side
    507.64x = 239,475.89
  5. Step 5: Solve for x
    x = 239,475.89/507.64
  6. Step 6: Final answer
    x = 471.74

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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.