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Finding the Fourth Proportional to 580.69, 801.25 and 384.13

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Solution

The fourth proportional to 580.69, 801.25 and 384.13 is: 530.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.69 : 801.25 = 384.13 : x
  2. Step 2: Convert to fraction form
    580.69/801.25 = 384.13/x
  3. Step 3: Cross multiply
    580.69x = 801.25 × 384.13
  4. Step 4: Simplify right side
    580.69x = 307,784.16
  5. Step 5: Solve for x
    x = 307,784.16/580.69
  6. Step 6: Final answer
    x = 530.03

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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.