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Finding the Fourth Proportional to 592.16, 884.20 and 530.06

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Solution

The fourth proportional to 592.16, 884.20 and 530.06 is: 791.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.16 : 884.20 = 530.06 : x
  2. Step 2: Convert to fraction form
    592.16/884.20 = 530.06/x
  3. Step 3: Cross multiply
    592.16x = 884.20 × 530.06
  4. Step 4: Simplify right side
    592.16x = 468,673.31
  5. Step 5: Solve for x
    x = 468,673.31/592.16
  6. Step 6: Final answer
    x = 791.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.