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Finding the Fourth Proportional to 384.37, 530.26 and 259.99

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Solution

The fourth proportional to 384.37, 530.26 and 259.99 is: 358.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.37 : 530.26 = 259.99 : x
  2. Step 2: Convert to fraction form
    384.37/530.26 = 259.99/x
  3. Step 3: Cross multiply
    384.37x = 530.26 × 259.99
  4. Step 4: Simplify right side
    384.37x = 137,860.30
  5. Step 5: Solve for x
    x = 137,860.30/384.37
  6. Step 6: Final answer
    x = 358.67

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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.