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Finding the Fourth Proportional to 384.81, 530.36 and 260.42

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Solution

The fourth proportional to 384.81, 530.36 and 260.42 is: 358.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.81 : 530.36 = 260.42 : x
  2. Step 2: Convert to fraction form
    384.81/530.36 = 260.42/x
  3. Step 3: Cross multiply
    384.81x = 530.36 × 260.42
  4. Step 4: Simplify right side
    384.81x = 138,117.82
  5. Step 5: Solve for x
    x = 138,117.82/384.81
  6. Step 6: Final answer
    x = 358.93

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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.