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Finding the Fourth Proportional to 430.16, 593.34 and 282.92

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Solution

The fourth proportional to 430.16, 593.34 and 282.92 is: 390.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.16 : 593.34 = 282.92 : x
  2. Step 2: Convert to fraction form
    430.16/593.34 = 282.92/x
  3. Step 3: Cross multiply
    430.16x = 593.34 × 282.92
  4. Step 4: Simplify right side
    430.16x = 167,867.75
  5. Step 5: Solve for x
    x = 167,867.75/430.16
  6. Step 6: Final answer
    x = 390.24

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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.