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Finding the Fourth Proportional to 530.25, 792.13 and 422.16

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Solution

The fourth proportional to 530.25, 792.13 and 422.16 is: 630.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.25 : 792.13 = 422.16 : x
  2. Step 2: Convert to fraction form
    530.25/792.13 = 422.16/x
  3. Step 3: Cross multiply
    530.25x = 792.13 × 422.16
  4. Step 4: Simplify right side
    530.25x = 334,405.60
  5. Step 5: Solve for x
    x = 334,405.60/530.25
  6. Step 6: Final answer
    x = 630.66

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.