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Finding the Fourth Proportional to 430.07, 593.51 and 297.31

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Solution

The fourth proportional to 430.07, 593.51 and 297.31 is: 410.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.07 : 593.51 = 297.31 : x
  2. Step 2: Convert to fraction form
    430.07/593.51 = 297.31/x
  3. Step 3: Cross multiply
    430.07x = 593.51 × 297.31
  4. Step 4: Simplify right side
    430.07x = 176,458.57
  5. Step 5: Solve for x
    x = 176,458.57/430.07
  6. Step 6: Final answer
    x = 410.30

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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.