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Finding the Fourth Proportional to 434.16, 599.16 and 259.50

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Solution

The fourth proportional to 434.16, 599.16 and 259.50 is: 358.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.16 : 599.16 = 259.50 : x
  2. Step 2: Convert to fraction form
    434.16/599.16 = 259.50/x
  3. Step 3: Cross multiply
    434.16x = 599.16 × 259.50
  4. Step 4: Simplify right side
    434.16x = 155,482.02
  5. Step 5: Solve for x
    x = 155,482.02/434.16
  6. Step 6: Final answer
    x = 358.12

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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.