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Finding the Fourth Proportional to 590.48, 818.30 and 578.96

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Solution

The fourth proportional to 590.48, 818.30 and 578.96 is: 802.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.48 : 818.30 = 578.96 : x
  2. Step 2: Convert to fraction form
    590.48/818.30 = 578.96/x
  3. Step 3: Cross multiply
    590.48x = 818.30 × 578.96
  4. Step 4: Simplify right side
    590.48x = 473,762.97
  5. Step 5: Solve for x
    x = 473,762.97/590.48
  6. Step 6: Final answer
    x = 802.34

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.