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Finding the Fourth Proportional to 430.60, 593.93 and 297.87

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Solution

The fourth proportional to 430.60, 593.93 and 297.87 is: 410.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.60 : 593.93 = 297.87 : x
  2. Step 2: Convert to fraction form
    430.60/593.93 = 297.87/x
  3. Step 3: Cross multiply
    430.60x = 593.93 × 297.87
  4. Step 4: Simplify right side
    430.60x = 176,913.93
  5. Step 5: Solve for x
    x = 176,913.93/430.60
  6. Step 6: Final answer
    x = 410.85

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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.