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Finding the Fourth Proportional to 590.48, 814.64 and 357.60

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Solution

The fourth proportional to 590.48, 814.64 and 357.60 is: 493.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.48 : 814.64 = 357.60 : x
  2. Step 2: Convert to fraction form
    590.48/814.64 = 357.60/x
  3. Step 3: Cross multiply
    590.48x = 814.64 × 357.60
  4. Step 4: Simplify right side
    590.48x = 291,315.26
  5. Step 5: Solve for x
    x = 291,315.26/590.48
  6. Step 6: Final answer
    x = 493.35

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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.