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Finding the Fourth Proportional to 530.10, 792.99 and 392.18

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Solution

The fourth proportional to 530.10, 792.99 and 392.18 is: 586.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.10 : 792.99 = 392.18 : x
  2. Step 2: Convert to fraction form
    530.10/792.99 = 392.18/x
  3. Step 3: Cross multiply
    530.10x = 792.99 × 392.18
  4. Step 4: Simplify right side
    530.10x = 310,990.85
  5. Step 5: Solve for x
    x = 310,990.85/530.10
  6. Step 6: Final answer
    x = 586.66

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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.