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Finding the Fourth Proportional to 590.04, 886.68 and 551.16

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Solution

The fourth proportional to 590.04, 886.68 and 551.16 is: 828.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.04 : 886.68 = 551.16 : x
  2. Step 2: Convert to fraction form
    590.04/886.68 = 551.16/x
  3. Step 3: Cross multiply
    590.04x = 886.68 × 551.16
  4. Step 4: Simplify right side
    590.04x = 488,702.55
  5. Step 5: Solve for x
    x = 488,702.55/590.04
  6. Step 6: Final answer
    x = 828.25

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Why These Related Problems?

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