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Finding the Fourth Proportional to 384.66, 530.76 and 260.58

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Solution

The fourth proportional to 384.66, 530.76 and 260.58 is: 359.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.66 : 530.76 = 260.58 : x
  2. Step 2: Convert to fraction form
    384.66/530.76 = 260.58/x
  3. Step 3: Cross multiply
    384.66x = 530.76 × 260.58
  4. Step 4: Simplify right side
    384.66x = 138,305.44
  5. Step 5: Solve for x
    x = 138,305.44/384.66
  6. Step 6: Final answer
    x = 359.55

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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.