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Finding the Fourth Proportional to 656.04, 904.60 and 419.68

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Solution

The fourth proportional to 656.04, 904.60 and 419.68 is: 578.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.04 : 904.60 = 419.68 : x
  2. Step 2: Convert to fraction form
    656.04/904.60 = 419.68/x
  3. Step 3: Cross multiply
    656.04x = 904.60 × 419.68
  4. Step 4: Simplify right side
    656.04x = 379,644.18
  5. Step 5: Solve for x
    x = 379,644.18/656.04
  6. Step 6: Final answer
    x = 578.69

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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.