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Finding the Fourth Proportional to 585.07, 877.59 and 401.90

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Solution

The fourth proportional to 585.07, 877.59 and 401.90 is: 602.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.07 : 877.59 = 401.90 : x
  2. Step 2: Convert to fraction form
    585.07/877.59 = 401.90/x
  3. Step 3: Cross multiply
    585.07x = 877.59 × 401.90
  4. Step 4: Simplify right side
    585.07x = 352,703.42
  5. Step 5: Solve for x
    x = 352,703.42/585.07
  6. Step 6: Final answer
    x = 602.84

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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.