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Finding the Fourth Proportional to 385.07, 530.77 and 260.69

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Solution

The fourth proportional to 385.07, 530.77 and 260.69 is: 359.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.07 : 530.77 = 260.69 : x
  2. Step 2: Convert to fraction form
    385.07/530.77 = 260.69/x
  3. Step 3: Cross multiply
    385.07x = 530.77 × 260.69
  4. Step 4: Simplify right side
    385.07x = 138,366.43
  5. Step 5: Solve for x
    x = 138,366.43/385.07
  6. Step 6: Final answer
    x = 359.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.