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Finding the Fourth Proportional to 384.58, 530.81 and 297.06

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Solution

The fourth proportional to 384.58, 530.81 and 297.06 is: 410.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.58 : 530.81 = 297.06 : x
  2. Step 2: Convert to fraction form
    384.58/530.81 = 297.06/x
  3. Step 3: Cross multiply
    384.58x = 530.81 × 297.06
  4. Step 4: Simplify right side
    384.58x = 157,682.42
  5. Step 5: Solve for x
    x = 157,682.42/384.58
  6. Step 6: Final answer
    x = 410.01

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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.