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Finding the Fourth Proportional to 530.11, 731.56 and 320.29

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Solution

The fourth proportional to 530.11, 731.56 and 320.29 is: 442.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.11 : 731.56 = 320.29 : x
  2. Step 2: Convert to fraction form
    530.11/731.56 = 320.29/x
  3. Step 3: Cross multiply
    530.11x = 731.56 × 320.29
  4. Step 4: Simplify right side
    530.11x = 234,307.69
  5. Step 5: Solve for x
    x = 234,307.69/530.11
  6. Step 6: Final answer
    x = 442.00

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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.