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Finding the Fourth Proportional to 530.25, 731.30 and 431.84

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Solution

The fourth proportional to 530.25, 731.30 and 431.84 is: 595.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.25 : 731.30 = 431.84 : x
  2. Step 2: Convert to fraction form
    530.25/731.30 = 431.84/x
  3. Step 3: Cross multiply
    530.25x = 731.30 × 431.84
  4. Step 4: Simplify right side
    530.25x = 315,804.59
  5. Step 5: Solve for x
    x = 315,804.59/530.25
  6. Step 6: Final answer
    x = 595.58

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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.