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Finding the Fourth Proportional to 390.07, 538.55 and 265.74

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Solution

The fourth proportional to 390.07, 538.55 and 265.74 is: 366.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.07 : 538.55 = 265.74 : x
  2. Step 2: Convert to fraction form
    390.07/538.55 = 265.74/x
  3. Step 3: Cross multiply
    390.07x = 538.55 × 265.74
  4. Step 4: Simplify right side
    390.07x = 143,114.28
  5. Step 5: Solve for x
    x = 143,114.28/390.07
  6. Step 6: Final answer
    x = 366.89

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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.