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Finding the Fourth Proportional to 656.24, 904.56 and 546.08

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Solution

The fourth proportional to 656.24, 904.56 and 546.08 is: 752.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.24 : 904.56 = 546.08 : x
  2. Step 2: Convert to fraction form
    656.24/904.56 = 546.08/x
  3. Step 3: Cross multiply
    656.24x = 904.56 × 546.08
  4. Step 4: Simplify right side
    656.24x = 493,962.12
  5. Step 5: Solve for x
    x = 493,962.12/656.24
  6. Step 6: Final answer
    x = 752.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.