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Finding the Fourth Proportional to 585.64, 877.58 and 423.16

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Solution

The fourth proportional to 585.64, 877.58 and 423.16 is: 634.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.64 : 877.58 = 423.16 : x
  2. Step 2: Convert to fraction form
    585.64/877.58 = 423.16/x
  3. Step 3: Cross multiply
    585.64x = 877.58 × 423.16
  4. Step 4: Simplify right side
    585.64x = 371,356.75
  5. Step 5: Solve for x
    x = 371,356.75/585.64
  6. Step 6: Final answer
    x = 634.10

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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.