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Finding the Fourth Proportional to 430.10, 593.08 and 346.87

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Solution

The fourth proportional to 430.10, 593.08 and 346.87 is: 478.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.10 : 593.08 = 346.87 : x
  2. Step 2: Convert to fraction form
    430.10/593.08 = 346.87/x
  3. Step 3: Cross multiply
    430.10x = 593.08 × 346.87
  4. Step 4: Simplify right side
    430.10x = 205,721.66
  5. Step 5: Solve for x
    x = 205,721.66/430.10
  6. Step 6: Final answer
    x = 478.31

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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.