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Finding the Fourth Proportional to 590.02, 812.55 and 415.06

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Solution

The fourth proportional to 590.02, 812.55 and 415.06 is: 571.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.02 : 812.55 = 415.06 : x
  2. Step 2: Convert to fraction form
    590.02/812.55 = 415.06/x
  3. Step 3: Cross multiply
    590.02x = 812.55 × 415.06
  4. Step 4: Simplify right side
    590.02x = 337,257.00
  5. Step 5: Solve for x
    x = 337,257.00/590.02
  6. Step 6: Final answer
    x = 571.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.