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Finding the Fourth Proportional to 530.24, 731.52 and 322.88

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Solution

The fourth proportional to 530.24, 731.52 and 322.88 is: 445.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.24 : 731.52 = 322.88 : x
  2. Step 2: Convert to fraction form
    530.24/731.52 = 322.88/x
  3. Step 3: Cross multiply
    530.24x = 731.52 × 322.88
  4. Step 4: Simplify right side
    530.24x = 236,193.18
  5. Step 5: Solve for x
    x = 236,193.18/530.24
  6. Step 6: Final answer
    x = 445.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.