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Finding the Fourth Proportional to 390.10, 538.34 and 259.13

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Solution

The fourth proportional to 390.10, 538.34 and 259.13 is: 357.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.10 : 538.34 = 259.13 : x
  2. Step 2: Convert to fraction form
    390.10/538.34 = 259.13/x
  3. Step 3: Cross multiply
    390.10x = 538.34 × 259.13
  4. Step 4: Simplify right side
    390.10x = 139,500.09
  5. Step 5: Solve for x
    x = 139,500.09/390.10
  6. Step 6: Final answer
    x = 357.60

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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.