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Finding the Fourth Proportional to 560.64, 840.93 and 175.89

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Solution

The fourth proportional to 560.64, 840.93 and 175.89 is: 263.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.64 : 840.93 = 175.89 : x
  2. Step 2: Convert to fraction form
    560.64/840.93 = 175.89/x
  3. Step 3: Cross multiply
    560.64x = 840.93 × 175.89
  4. Step 4: Simplify right side
    560.64x = 147,911.18
  5. Step 5: Solve for x
    x = 147,911.18/560.64
  6. Step 6: Final answer
    x = 263.83

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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.