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Finding the Fourth Proportional to 590.58, 813.13 and 480.42

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Solution

The fourth proportional to 590.58, 813.13 and 480.42 is: 661.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.58 : 813.13 = 480.42 : x
  2. Step 2: Convert to fraction form
    590.58/813.13 = 480.42/x
  3. Step 3: Cross multiply
    590.58x = 813.13 × 480.42
  4. Step 4: Simplify right side
    590.58x = 390,643.91
  5. Step 5: Solve for x
    x = 390,643.91/590.58
  6. Step 6: Final answer
    x = 661.46

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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.