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Finding the Fourth Proportional to 419.99, 577.52 and 407.02

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Solution

The fourth proportional to 419.99, 577.52 and 407.02 is: 559.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.99 : 577.52 = 407.02 : x
  2. Step 2: Convert to fraction form
    419.99/577.52 = 407.02/x
  3. Step 3: Cross multiply
    419.99x = 577.52 × 407.02
  4. Step 4: Simplify right side
    419.99x = 235,059.77
  5. Step 5: Solve for x
    x = 235,059.77/419.99
  6. Step 6: Final answer
    x = 559.67

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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.