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Finding the Fourth Proportional to 459.04, 688.54 and 185.06

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Solution

The fourth proportional to 459.04, 688.54 and 185.06 is: 277.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.04 : 688.54 = 185.06 : x
  2. Step 2: Convert to fraction form
    459.04/688.54 = 185.06/x
  3. Step 3: Cross multiply
    459.04x = 688.54 × 185.06
  4. Step 4: Simplify right side
    459.04x = 127,421.21
  5. Step 5: Solve for x
    x = 127,421.21/459.04
  6. Step 6: Final answer
    x = 277.58

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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.