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Finding the Fourth Proportional to 530.68, 794.46 and 348.16

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Solution

The fourth proportional to 530.68, 794.46 and 348.16 is: 521.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.68 : 794.46 = 348.16 : x
  2. Step 2: Convert to fraction form
    530.68/794.46 = 348.16/x
  3. Step 3: Cross multiply
    530.68x = 794.46 × 348.16
  4. Step 4: Simplify right side
    530.68x = 276,599.19
  5. Step 5: Solve for x
    x = 276,599.19/530.68
  6. Step 6: Final answer
    x = 521.22

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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.