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Finding the Fourth Proportional to 430.07, 593.15 and 264.14

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Solution

The fourth proportional to 430.07, 593.15 and 264.14 is: 364.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.07 : 593.15 = 264.14 : x
  2. Step 2: Convert to fraction form
    430.07/593.15 = 264.14/x
  3. Step 3: Cross multiply
    430.07x = 593.15 × 264.14
  4. Step 4: Simplify right side
    430.07x = 156,672.34
  5. Step 5: Solve for x
    x = 156,672.34/430.07
  6. Step 6: Final answer
    x = 364.30

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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.