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Finding the Fourth Proportional to 585.08, 877.62 and 277.07

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Solution

The fourth proportional to 585.08, 877.62 and 277.07 is: 415.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.08 : 877.62 = 277.07 : x
  2. Step 2: Convert to fraction form
    585.08/877.62 = 277.07/x
  3. Step 3: Cross multiply
    585.08x = 877.62 × 277.07
  4. Step 4: Simplify right side
    585.08x = 243,157.79
  5. Step 5: Solve for x
    x = 243,157.79/585.08
  6. Step 6: Final answer
    x = 415.60

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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.