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Finding the Fourth Proportional to 430.02, 643.31 and 372.95

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Solution

The fourth proportional to 430.02, 643.31 and 372.95 is: 557.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.02 : 643.31 = 372.95 : x
  2. Step 2: Convert to fraction form
    430.02/643.31 = 372.95/x
  3. Step 3: Cross multiply
    430.02x = 643.31 × 372.95
  4. Step 4: Simplify right side
    430.02x = 239,917.38
  5. Step 5: Solve for x
    x = 239,917.38/430.02
  6. Step 6: Final answer
    x = 557.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.