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Finding the Fourth Proportional to 430.24, 593.68 and 264.40

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Solution

The fourth proportional to 430.24, 593.68 and 264.40 is: 364.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.24 : 593.68 = 264.40 : x
  2. Step 2: Convert to fraction form
    430.24/593.68 = 264.40/x
  3. Step 3: Cross multiply
    430.24x = 593.68 × 264.40
  4. Step 4: Simplify right side
    430.24x = 156,968.99
  5. Step 5: Solve for x
    x = 156,968.99/430.24
  6. Step 6: Final answer
    x = 364.84

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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.