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Finding the Fourth Proportional to 590.07, 883.27 and 460.45

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Solution

The fourth proportional to 590.07, 883.27 and 460.45 is: 689.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.07 : 883.27 = 460.45 : x
  2. Step 2: Convert to fraction form
    590.07/883.27 = 460.45/x
  3. Step 3: Cross multiply
    590.07x = 883.27 × 460.45
  4. Step 4: Simplify right side
    590.07x = 406,701.67
  5. Step 5: Solve for x
    x = 406,701.67/590.07
  6. Step 6: Final answer
    x = 689.24

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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.