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Finding the Fourth Proportional to 384.21, 530.74 and 342.75

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Solution

The fourth proportional to 384.21, 530.74 and 342.75 is: 473.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.21 : 530.74 = 342.75 : x
  2. Step 2: Convert to fraction form
    384.21/530.74 = 342.75/x
  3. Step 3: Cross multiply
    384.21x = 530.74 × 342.75
  4. Step 4: Simplify right side
    384.21x = 181,909.34
  5. Step 5: Solve for x
    x = 181,909.34/384.21
  6. Step 6: Final answer
    x = 473.47

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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.