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Finding the Fourth Proportional to 580.42, 800.97 and 384.07

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Solution

The fourth proportional to 580.42, 800.97 and 384.07 is: 530.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.42 : 800.97 = 384.07 : x
  2. Step 2: Convert to fraction form
    580.42/800.97 = 384.07/x
  3. Step 3: Cross multiply
    580.42x = 800.97 × 384.07
  4. Step 4: Simplify right side
    580.42x = 307,628.55
  5. Step 5: Solve for x
    x = 307,628.55/580.42
  6. Step 6: Final answer
    x = 530.01

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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.