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Finding the Fourth Proportional to 430.24, 593.68 and 253.07

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Solution

The fourth proportional to 430.24, 593.68 and 253.07 is: 349.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.24 : 593.68 = 253.07 : x
  2. Step 2: Convert to fraction form
    430.24/593.68 = 253.07/x
  3. Step 3: Cross multiply
    430.24x = 593.68 × 253.07
  4. Step 4: Simplify right side
    430.24x = 150,242.60
  5. Step 5: Solve for x
    x = 150,242.60/430.24
  6. Step 6: Final answer
    x = 349.21

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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.