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Finding the Fourth Proportional to 585.35, 877.18 and 277.04

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Solution

The fourth proportional to 585.35, 877.18 and 277.04 is: 415.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.35 : 877.18 = 277.04 : x
  2. Step 2: Convert to fraction form
    585.35/877.18 = 277.04/x
  3. Step 3: Cross multiply
    585.35x = 877.18 × 277.04
  4. Step 4: Simplify right side
    585.35x = 243,013.95
  5. Step 5: Solve for x
    x = 243,013.95/585.35
  6. Step 6: Final answer
    x = 415.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.