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Finding the Fourth Proportional to 530.68, 795.66 and 270.18

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Solution

The fourth proportional to 530.68, 795.66 and 270.18 is: 405.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.68 : 795.66 = 270.18 : x
  2. Step 2: Convert to fraction form
    530.68/795.66 = 270.18/x
  3. Step 3: Cross multiply
    530.68x = 795.66 × 270.18
  4. Step 4: Simplify right side
    530.68x = 214,971.20
  5. Step 5: Solve for x
    x = 214,971.20/530.68
  6. Step 6: Final answer
    x = 405.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.