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Finding the Fourth Proportional to 459.56, 690.54 and 430.40

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Solution

The fourth proportional to 459.56, 690.54 and 430.40 is: 646.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.56 : 690.54 = 430.40 : x
  2. Step 2: Convert to fraction form
    459.56/690.54 = 430.40/x
  3. Step 3: Cross multiply
    459.56x = 690.54 × 430.40
  4. Step 4: Simplify right side
    459.56x = 297,208.42
  5. Step 5: Solve for x
    x = 297,208.42/459.56
  6. Step 6: Final answer
    x = 646.72

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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.