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Finding the Fourth Proportional to 530.63, 731.59 and 435.75

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Solution

The fourth proportional to 530.63, 731.59 and 435.75 is: 600.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.63 : 731.59 = 435.75 : x
  2. Step 2: Convert to fraction form
    530.63/731.59 = 435.75/x
  3. Step 3: Cross multiply
    530.63x = 731.59 × 435.75
  4. Step 4: Simplify right side
    530.63x = 318,789.25
  5. Step 5: Solve for x
    x = 318,789.25/530.63
  6. Step 6: Final answer
    x = 600.78

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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.