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Finding the Fourth Proportional to 421.15, 580.79 and 253.07

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Solution

The fourth proportional to 421.15, 580.79 and 253.07 is: 349.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.15 : 580.79 = 253.07 : x
  2. Step 2: Convert to fraction form
    421.15/580.79 = 253.07/x
  3. Step 3: Cross multiply
    421.15x = 580.79 × 253.07
  4. Step 4: Simplify right side
    421.15x = 146,980.71
  5. Step 5: Solve for x
    x = 146,980.71/421.15
  6. Step 6: Final answer
    x = 349.00

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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.